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

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


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

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

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

Solving
10 + 4y = -8 + 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.
10 + 4y + -3y = -8 + 3y + -3y

Combine like terms: 4y + -3y = 1y
10 + 1y = -8 + 3y + -3y

Combine like terms: 3y + -3y = 0
10 + 1y = -8 + 0
10 + 1y = -8

Add '-10' to each side of the equation.
10 + -10 + 1y = -8 + -10

Combine like terms: 10 + -10 = 0
0 + 1y = -8 + -10
1y = -8 + -10

Combine like terms: -8 + -10 = -18
1y = -18

Divide each side by '1'.
y = -18

Simplifying
y = -18

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