9(y-1)-7(2y+1)=10

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Solution for 9(y-1)-7(2y+1)=10 equation: 


Simplifying
9(y + -1) + -7(2y + 1) = 10

Reorder the terms:
9(-1 + y) + -7(2y + 1) = 10
(-1 * 9 + y * 9) + -7(2y + 1) = 10
(-9 + 9y) + -7(2y + 1) = 10

Reorder the terms:
-9 + 9y + -7(1 + 2y) = 10
-9 + 9y + (1 * -7 + 2y * -7) = 10
-9 + 9y + (-7 + -14y) = 10

Reorder the terms:
-9 + -7 + 9y + -14y = 10

Combine like terms: -9 + -7 = -16
-16 + 9y + -14y = 10

Combine like terms: 9y + -14y = -5y
-16 + -5y = 10

Solving
-16 + -5y = 10

Solving for variable 'y'.

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

Add '16' to each side of the equation.
-16 + 16 + -5y = 10 + 16

Combine like terms: -16 + 16 = 0
0 + -5y = 10 + 16
-5y = 10 + 16

Combine like terms: 10 + 16 = 26
-5y = 26

Divide each side by '-5'.
y = -5.2

Simplifying
y = -5.2

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