-3(y-6)=-8y+13

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Solution for -3(y-6)=-8y+13 equation:


Simplifying
-3(y + -6) = -8y + 13

Reorder the terms:
-3(-6 + y) = -8y + 13
(-6 * -3 + y * -3) = -8y + 13
(18 + -3y) = -8y + 13

Reorder the terms:
18 + -3y = 13 + -8y

Solving
18 + -3y = 13 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
18 + -3y + 8y = 13 + -8y + 8y

Combine like terms: -3y + 8y = 5y
18 + 5y = 13 + -8y + 8y

Combine like terms: -8y + 8y = 0
18 + 5y = 13 + 0
18 + 5y = 13

Add '-18' to each side of the equation.
18 + -18 + 5y = 13 + -18

Combine like terms: 18 + -18 = 0
0 + 5y = 13 + -18
5y = 13 + -18

Combine like terms: 13 + -18 = -5
5y = -5

Divide each side by '5'.
y = -1

Simplifying
y = -1

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