4(y+2)-3=2y+7

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Solution for 4(y+2)-3=2y+7 equation:


Simplifying
4(y + 2) + -3 = 2y + 7

Reorder the terms:
4(2 + y) + -3 = 2y + 7
(2 * 4 + y * 4) + -3 = 2y + 7
(8 + 4y) + -3 = 2y + 7

Reorder the terms:
8 + -3 + 4y = 2y + 7

Combine like terms: 8 + -3 = 5
5 + 4y = 2y + 7

Reorder the terms:
5 + 4y = 7 + 2y

Solving
5 + 4y = 7 + 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.
5 + 4y + -2y = 7 + 2y + -2y

Combine like terms: 4y + -2y = 2y
5 + 2y = 7 + 2y + -2y

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

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

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

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

Divide each side by '2'.
y = 1

Simplifying
y = 1

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