7(y-7)+2y=32

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Solution for 7(y-7)+2y=32 equation:


Simplifying
7(y + -7) + 2y = 32

Reorder the terms:
7(-7 + y) + 2y = 32
(-7 * 7 + y * 7) + 2y = 32
(-49 + 7y) + 2y = 32

Combine like terms: 7y + 2y = 9y
-49 + 9y = 32

Solving
-49 + 9y = 32

Solving for variable 'y'.

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

Add '49' to each side of the equation.
-49 + 49 + 9y = 32 + 49

Combine like terms: -49 + 49 = 0
0 + 9y = 32 + 49
9y = 32 + 49

Combine like terms: 32 + 49 = 81
9y = 81

Divide each side by '9'.
y = 9

Simplifying
y = 9

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