-6(y-4)=5y+13

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Solution for -6(y-4)=5y+13 equation:


Simplifying
-6(y + -4) = 5y + 13

Reorder the terms:
-6(-4 + y) = 5y + 13
(-4 * -6 + y * -6) = 5y + 13
(24 + -6y) = 5y + 13

Reorder the terms:
24 + -6y = 13 + 5y

Solving
24 + -6y = 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.
24 + -6y + -5y = 13 + 5y + -5y

Combine like terms: -6y + -5y = -11y
24 + -11y = 13 + 5y + -5y

Combine like terms: 5y + -5y = 0
24 + -11y = 13 + 0
24 + -11y = 13

Add '-24' to each side of the equation.
24 + -24 + -11y = 13 + -24

Combine like terms: 24 + -24 = 0
0 + -11y = 13 + -24
-11y = 13 + -24

Combine like terms: 13 + -24 = -11
-11y = -11

Divide each side by '-11'.
y = 1

Simplifying
y = 1

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