9(y-4)+3(y+3)=57

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Solution for 9(y-4)+3(y+3)=57 equation:


Simplifying
9(y + -4) + 3(y + 3) = 57

Reorder the terms:
9(-4 + y) + 3(y + 3) = 57
(-4 * 9 + y * 9) + 3(y + 3) = 57
(-36 + 9y) + 3(y + 3) = 57

Reorder the terms:
-36 + 9y + 3(3 + y) = 57
-36 + 9y + (3 * 3 + y * 3) = 57
-36 + 9y + (9 + 3y) = 57

Reorder the terms:
-36 + 9 + 9y + 3y = 57

Combine like terms: -36 + 9 = -27
-27 + 9y + 3y = 57

Combine like terms: 9y + 3y = 12y
-27 + 12y = 57

Solving
-27 + 12y = 57

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '27' to each side of the equation.
-27 + 27 + 12y = 57 + 27

Combine like terms: -27 + 27 = 0
0 + 12y = 57 + 27
12y = 57 + 27

Combine like terms: 57 + 27 = 84
12y = 84

Divide each side by '12'.
y = 7

Simplifying
y = 7

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