2(2y+1)=3(y-4)

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Solution for 2(2y+1)=3(y-4) equation: 


Simplifying
2(2y + 1) = 3(y + -4)

Reorder the terms:
2(1 + 2y) = 3(y + -4)
(1 * 2 + 2y * 2) = 3(y + -4)
(2 + 4y) = 3(y + -4)

Reorder the terms:
2 + 4y = 3(-4 + y)
2 + 4y = (-4 * 3 + y * 3)
2 + 4y = (-12 + 3y)

Solving
2 + 4y = -12 + 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.
2 + 4y + -3y = -12 + 3y + -3y

Combine like terms: 4y + -3y = 1y
2 + 1y = -12 + 3y + -3y

Combine like terms: 3y + -3y = 0
2 + 1y = -12 + 0
2 + 1y = -12

Add '-2' to each side of the equation.
2 + -2 + 1y = -12 + -2

Combine like terms: 2 + -2 = 0
0 + 1y = -12 + -2
1y = -12 + -2

Combine like terms: -12 + -2 = -14
1y = -14

Divide each side by '1'.
y = -14

Simplifying
y = -14

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