-5(y-2)=-8y+13

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Solution for -5(y-2)=-8y+13 equation:


Simplifying
-5(y + -2) = -8y + 13

Reorder the terms:
-5(-2 + y) = -8y + 13
(-2 * -5 + y * -5) = -8y + 13
(10 + -5y) = -8y + 13

Reorder the terms:
10 + -5y = 13 + -8y

Solving
10 + -5y = 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.
10 + -5y + 8y = 13 + -8y + 8y

Combine like terms: -5y + 8y = 3y
10 + 3y = 13 + -8y + 8y

Combine like terms: -8y + 8y = 0
10 + 3y = 13 + 0
10 + 3y = 13

Add '-10' to each side of the equation.
10 + -10 + 3y = 13 + -10

Combine like terms: 10 + -10 = 0
0 + 3y = 13 + -10
3y = 13 + -10

Combine like terms: 13 + -10 = 3
3y = 3

Divide each side by '3'.
y = 1

Simplifying
y = 1

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