(y+176)*8=y/8+176/8 Please help

To solve the equation (y + 176) * 8 = y/8 + 176/8, you'll need to use properties of algebra such as distributive property, multiplication, and division. Here are the steps:

Step 1: Apply the distributive property to the left side of the equation. (y + 176) * 8 = 8y + 1408, because you multiply both y and 176 by 8.

Step 2: Simplify the right side of the equation. y/8 + 176/8 can be simplified by dividing the terms individually which gives us y/8 + 22.

Step 3: The equation now looks like this: 8y + 1408 = y/8 + 22

Step 4: To solve for y, we need to get all the y terms on one side and the constants on the other. Let's move y/8 from the right side to the left by subtracting it from both sides: 8y - y/8 = - 1408 + 22

Step 5: To combine the y terms on the left side, find a common denominator, which in this case is 8. To do this, multiply 8y by 8/8 to get an equivalent fraction: (8y * 8/8) - y/8 = 63 * 8 - 1408

Step 6: Now, solve for y. (64y/8) - (y/8) = 504 - 1408 (63y/8) = -904

Step 7: Multiply both sides by 8/63 to isolate y. y= -904 * (8/63) y = -14464/63

So the solution for y is -14464/63, which can be left in fraction form or approximately -229.587 as a decimal.