-2(y-6)=5y+13

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Solution for -2(y-6)=5y+13 equation:


Simplifying
-2(y + -6) = 5y + 13

Reorder the terms:
-2(-6 + y) = 5y + 13
(-6 * -2 + y * -2) = 5y + 13
(12 + -2y) = 5y + 13

Reorder the terms:
12 + -2y = 13 + 5y

Solving
12 + -2y = 13 + 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.
12 + -2y + -5y = 13 + 5y + -5y

Combine like terms: -2y + -5y = -7y
12 + -7y = 13 + 5y + -5y

Combine like terms: 5y + -5y = 0
12 + -7y = 13 + 0
12 + -7y = 13

Add '-12' to each side of the equation.
12 + -12 + -7y = 13 + -12

Combine like terms: 12 + -12 = 0
0 + -7y = 13 + -12
-7y = 13 + -12

Combine like terms: 13 + -12 = 1
-7y = 1

Divide each side by '-7'.
y = -0.1428571429

Simplifying
y = -0.1428571429

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