5(2y+1)=3y-2

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Solution for 5(2y+1)=3y-2 equation:


Simplifying
5(2y + 1) = 3y + -2

Reorder the terms:
5(1 + 2y) = 3y + -2
(1 * 5 + 2y * 5) = 3y + -2
(5 + 10y) = 3y + -2

Reorder the terms:
5 + 10y = -2 + 3y

Solving
5 + 10y = -2 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
5 + 10y + -3y = -2 + 3y + -3y

Combine like terms: 10y + -3y = 7y
5 + 7y = -2 + 3y + -3y

Combine like terms: 3y + -3y = 0
5 + 7y = -2 + 0
5 + 7y = -2

Add '-5' to each side of the equation.
5 + -5 + 7y = -2 + -5

Combine like terms: 5 + -5 = 0
0 + 7y = -2 + -5
7y = -2 + -5

Combine like terms: -2 + -5 = -7
7y = -7

Divide each side by '7'.
y = -1

Simplifying
y = -1

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