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To solve the equation a⋅(n+y)=10y+32, you will need to follow these steps:
Step 1: Distribute the a to the terms inside the parentheses:
a⋅n+a⋅y=10y+32
Step 2: Rearrange the equation by grouping the terms with y on one side and the terms without y on the other side:
a⋅y - 10y = 32 - a⋅n
Step 3: Factor out y on the left side of the equation:
(a - 10)⋅y = 32 - a⋅n
Step 4: Divide both sides of the equation by the factor (a - 10) to isolate y:
y = (32 - a⋅n)/(a - 10)
So, the solution to the equation a⋅(n+y)=10y+32 is y = (32 - a⋅n)/(a - 10).
This equation is an example of a linear equation with two variables, n and y. When solving linear equations, the goal is to isolate the variable you are solving for on one side of the equation. In this case, we wanted to isolate y.
To isolate y, we first multiplied a by both n and y. Then, we rearranged the equation so that the terms with y were grouped on one side and the terms without y were on the other side.
Then, we factored out y on the left side of the equation and divided both sides of the equation by the factor (a - 10) to solve for y.
