-7(y-2)=2y+5

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Solution for -7(y-2)=2y+5 equation:


Simplifying
-7(y + -2) = 2y + 5

Reorder the terms:
-7(-2 + y) = 2y + 5
(-2 * -7 + y * -7) = 2y + 5
(14 + -7y) = 2y + 5

Reorder the terms:
14 + -7y = 5 + 2y

Solving
14 + -7y = 5 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
14 + -7y + -2y = 5 + 2y + -2y

Combine like terms: -7y + -2y = -9y
14 + -9y = 5 + 2y + -2y

Combine like terms: 2y + -2y = 0
14 + -9y = 5 + 0
14 + -9y = 5

Add '-14' to each side of the equation.
14 + -14 + -9y = 5 + -14

Combine like terms: 14 + -14 = 0
0 + -9y = 5 + -14
-9y = 5 + -14

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

Divide each side by '-9'.
y = 1

Simplifying
y = 1

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