-7(y-2)=3y-26

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Solution for -7(y-2)=3y-26 equation:


Simplifying
-7(y + -2) = 3y + -26

Reorder the terms:
-7(-2 + y) = 3y + -26
(-2 * -7 + y * -7) = 3y + -26
(14 + -7y) = 3y + -26

Reorder the terms:
14 + -7y = -26 + 3y

Solving
14 + -7y = -26 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
14 + -7y + -3y = -26 + 3y + -3y

Combine like terms: -7y + -3y = -10y
14 + -10y = -26 + 3y + -3y

Combine like terms: 3y + -3y = 0
14 + -10y = -26 + 0
14 + -10y = -26

Add '-14' to each side of the equation.
14 + -14 + -10y = -26 + -14

Combine like terms: 14 + -14 = 0
0 + -10y = -26 + -14
-10y = -26 + -14

Combine like terms: -26 + -14 = -40
-10y = -40

Divide each side by '-10'.
y = 4

Simplifying
y = 4

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