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

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


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

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

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

Reorder the terms:
4 + 4y = 4 + -3 + 2y

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

Solving
4 + 4y = 1 + 2y

Solving for variable 'y'.

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

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

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

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

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

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

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

Divide each side by '2'.
y = -1.5

Simplifying
y = -1.5

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