3(y-2)=5y+8

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


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

Reorder the terms:
3(-2 + y) = 5y + 8
(-2 * 3 + y * 3) = 5y + 8
(-6 + 3y) = 5y + 8

Reorder the terms:
-6 + 3y = 8 + 5y

Solving
-6 + 3y = 8 + 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.
-6 + 3y + -5y = 8 + 5y + -5y

Combine like terms: 3y + -5y = -2y
-6 + -2y = 8 + 5y + -5y

Combine like terms: 5y + -5y = 0
-6 + -2y = 8 + 0
-6 + -2y = 8

Add '6' to each side of the equation.
-6 + 6 + -2y = 8 + 6

Combine like terms: -6 + 6 = 0
0 + -2y = 8 + 6
-2y = 8 + 6

Combine like terms: 8 + 6 = 14
-2y = 14

Divide each side by '-2'.
y = -7

Simplifying
y = -7

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