-5(y-2)=-8y+22

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Solution for -5(y-2)=-8y+22 equation:


Simplifying
-5(y + -2) = -8y + 22

Reorder the terms:
-5(-2 + y) = -8y + 22
(-2 * -5 + y * -5) = -8y + 22
(10 + -5y) = -8y + 22

Reorder the terms:
10 + -5y = 22 + -8y

Solving
10 + -5y = 22 + -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 = 22 + -8y + 8y

Combine like terms: -5y + 8y = 3y
10 + 3y = 22 + -8y + 8y

Combine like terms: -8y + 8y = 0
10 + 3y = 22 + 0
10 + 3y = 22

Add '-10' to each side of the equation.
10 + -10 + 3y = 22 + -10

Combine like terms: 10 + -10 = 0
0 + 3y = 22 + -10
3y = 22 + -10

Combine like terms: 22 + -10 = 12
3y = 12

Divide each side by '3'.
y = 4

Simplifying
y = 4

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