-7(y-2)=-5y+18

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Solution for -7(y-2)=-5y+18 equation:


Simplifying
-7(y + -2) = -5y + 18

Reorder the terms:
-7(-2 + y) = -5y + 18
(-2 * -7 + y * -7) = -5y + 18
(14 + -7y) = -5y + 18

Reorder the terms:
14 + -7y = 18 + -5y

Solving
14 + -7y = 18 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
14 + -7y + 5y = 18 + -5y + 5y

Combine like terms: -7y + 5y = -2y
14 + -2y = 18 + -5y + 5y

Combine like terms: -5y + 5y = 0
14 + -2y = 18 + 0
14 + -2y = 18

Add '-14' to each side of the equation.
14 + -14 + -2y = 18 + -14

Combine like terms: 14 + -14 = 0
0 + -2y = 18 + -14
-2y = 18 + -14

Combine like terms: 18 + -14 = 4
-2y = 4

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

Simplifying
y = -2

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