-7(y-3)=-9y+15

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Solution for -7(y-3)=-9y+15 equation: 


Simplifying
-7(y + -3) = -9y + 15

Reorder the terms:
-7(-3 + y) = -9y + 15
(-3 * -7 + y * -7) = -9y + 15
(21 + -7y) = -9y + 15

Reorder the terms:
21 + -7y = 15 + -9y

Solving
21 + -7y = 15 + -9y

Solving for variable 'y'.

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

Add '9y' to each side of the equation.
21 + -7y + 9y = 15 + -9y + 9y

Combine like terms: -7y + 9y = 2y
21 + 2y = 15 + -9y + 9y

Combine like terms: -9y + 9y = 0
21 + 2y = 15 + 0
21 + 2y = 15

Add '-21' to each side of the equation.
21 + -21 + 2y = 15 + -21

Combine like terms: 21 + -21 = 0
0 + 2y = 15 + -21
2y = 15 + -21

Combine like terms: 15 + -21 = -6
2y = -6

Divide each side by '2'.
y = -3

Simplifying
y = -3

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