3y-8=5(2y-2)+4

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Solution for 3y-8=5(2y-2)+4 equation:


Simplifying
3y + -8 = 5(2y + -2) + 4

Reorder the terms:
-8 + 3y = 5(2y + -2) + 4

Reorder the terms:
-8 + 3y = 5(-2 + 2y) + 4
-8 + 3y = (-2 * 5 + 2y * 5) + 4
-8 + 3y = (-10 + 10y) + 4

Reorder the terms:
-8 + 3y = -10 + 4 + 10y

Combine like terms: -10 + 4 = -6
-8 + 3y = -6 + 10y

Solving
-8 + 3y = -6 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
-8 + 3y + -10y = -6 + 10y + -10y

Combine like terms: 3y + -10y = -7y
-8 + -7y = -6 + 10y + -10y

Combine like terms: 10y + -10y = 0
-8 + -7y = -6 + 0
-8 + -7y = -6

Add '8' to each side of the equation.
-8 + 8 + -7y = -6 + 8

Combine like terms: -8 + 8 = 0
0 + -7y = -6 + 8
-7y = -6 + 8

Combine like terms: -6 + 8 = 2
-7y = 2

Divide each side by '-7'.
y = -0.2857142857

Simplifying
y = -0.2857142857

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