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

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


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

Reorder the terms:
4(2 + y) = 3(2y + -1)
(2 * 4 + y * 4) = 3(2y + -1)
(8 + 4y) = 3(2y + -1)

Reorder the terms:
8 + 4y = 3(-1 + 2y)
8 + 4y = (-1 * 3 + 2y * 3)
8 + 4y = (-3 + 6y)

Solving
8 + 4y = -3 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
8 + 4y + -6y = -3 + 6y + -6y

Combine like terms: 4y + -6y = -2y
8 + -2y = -3 + 6y + -6y

Combine like terms: 6y + -6y = 0
8 + -2y = -3 + 0
8 + -2y = -3

Add '-8' to each side of the equation.
8 + -8 + -2y = -3 + -8

Combine like terms: 8 + -8 = 0
0 + -2y = -3 + -8
-2y = -3 + -8

Combine like terms: -3 + -8 = -11
-2y = -11

Divide each side by '-2'.
y = 5.5

Simplifying
y = 5.5

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