-5y+7(y-3)=-9

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Solution for -5y+7(y-3)=-9 equation:


Simplifying
-5y + 7(y + -3) = -9

Reorder the terms:
-5y + 7(-3 + y) = -9
-5y + (-3 * 7 + y * 7) = -9
-5y + (-21 + 7y) = -9

Reorder the terms:
-21 + -5y + 7y = -9

Combine like terms: -5y + 7y = 2y
-21 + 2y = -9

Solving
-21 + 2y = -9

Solving for variable 'y'.

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

Add '21' to each side of the equation.
-21 + 21 + 2y = -9 + 21

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

Combine like terms: -9 + 21 = 12
2y = 12

Divide each side by '2'.
y = 6

Simplifying
y = 6

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