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

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


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

Reorder the terms:
2(2 + 3y) = 5y + -2
(2 * 2 + 3y * 2) = 5y + -2
(4 + 6y) = 5y + -2

Reorder the terms:
4 + 6y = -2 + 5y

Solving
4 + 6y = -2 + 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.
4 + 6y + -5y = -2 + 5y + -5y

Combine like terms: 6y + -5y = 1y
4 + 1y = -2 + 5y + -5y

Combine like terms: 5y + -5y = 0
4 + 1y = -2 + 0
4 + 1y = -2

Add '-4' to each side of the equation.
4 + -4 + 1y = -2 + -4

Combine like terms: 4 + -4 = 0
0 + 1y = -2 + -4
1y = -2 + -4

Combine like terms: -2 + -4 = -6
1y = -6

Divide each side by '1'.
y = -6

Simplifying
y = -6

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