9(y-9)=-7y+15

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Solution for 9(y-9)=-7y+15 equation:


Simplifying
9(y + -9) = -7y + 15

Reorder the terms:
9(-9 + y) = -7y + 15
(-9 * 9 + y * 9) = -7y + 15
(-81 + 9y) = -7y + 15

Reorder the terms:
-81 + 9y = 15 + -7y

Solving
-81 + 9y = 15 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
-81 + 9y + 7y = 15 + -7y + 7y

Combine like terms: 9y + 7y = 16y
-81 + 16y = 15 + -7y + 7y

Combine like terms: -7y + 7y = 0
-81 + 16y = 15 + 0
-81 + 16y = 15

Add '81' to each side of the equation.
-81 + 81 + 16y = 15 + 81

Combine like terms: -81 + 81 = 0
0 + 16y = 15 + 81
16y = 15 + 81

Combine like terms: 15 + 81 = 96
16y = 96

Divide each side by '16'.
y = 6

Simplifying
y = 6

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