3(4y+3)-1=2(2y+4)+7

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Solution for 3(4y+3)-1=2(2y+4)+7 equation: 


Simplifying
3(4y + 3) + -1 = 2(2y + 4) + 7

Reorder the terms:
3(3 + 4y) + -1 = 2(2y + 4) + 7
(3 * 3 + 4y * 3) + -1 = 2(2y + 4) + 7
(9 + 12y) + -1 = 2(2y + 4) + 7

Reorder the terms:
9 + -1 + 12y = 2(2y + 4) + 7

Combine like terms: 9 + -1 = 8
8 + 12y = 2(2y + 4) + 7

Reorder the terms:
8 + 12y = 2(4 + 2y) + 7
8 + 12y = (4 * 2 + 2y * 2) + 7
8 + 12y = (8 + 4y) + 7

Reorder the terms:
8 + 12y = 8 + 7 + 4y

Combine like terms: 8 + 7 = 15
8 + 12y = 15 + 4y

Solving
8 + 12y = 15 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
8 + 12y + -4y = 15 + 4y + -4y

Combine like terms: 12y + -4y = 8y
8 + 8y = 15 + 4y + -4y

Combine like terms: 4y + -4y = 0
8 + 8y = 15 + 0
8 + 8y = 15

Add '-8' to each side of the equation.
8 + -8 + 8y = 15 + -8

Combine like terms: 8 + -8 = 0
0 + 8y = 15 + -8
8y = 15 + -8

Combine like terms: 15 + -8 = 7
8y = 7

Divide each side by '8'.
y = 0.875

Simplifying
y = 0.875

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