4(3y+2)-7=5(y-2)+4

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Solution for 4(3y+2)-7=5(y-2)+4 equation: 


Simplifying
4(3y + 2) + -7 = 5(y + -2) + 4

Reorder the terms:
4(2 + 3y) + -7 = 5(y + -2) + 4
(2 * 4 + 3y * 4) + -7 = 5(y + -2) + 4
(8 + 12y) + -7 = 5(y + -2) + 4

Reorder the terms:
8 + -7 + 12y = 5(y + -2) + 4

Combine like terms: 8 + -7 = 1
1 + 12y = 5(y + -2) + 4

Reorder the terms:
1 + 12y = 5(-2 + y) + 4
1 + 12y = (-2 * 5 + y * 5) + 4
1 + 12y = (-10 + 5y) + 4

Reorder the terms:
1 + 12y = -10 + 4 + 5y

Combine like terms: -10 + 4 = -6
1 + 12y = -6 + 5y

Solving
1 + 12y = -6 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
1 + 12y + -5y = -6 + 5y + -5y

Combine like terms: 12y + -5y = 7y
1 + 7y = -6 + 5y + -5y

Combine like terms: 5y + -5y = 0
1 + 7y = -6 + 0
1 + 7y = -6

Add '-1' to each side of the equation.
1 + -1 + 7y = -6 + -1

Combine like terms: 1 + -1 = 0
0 + 7y = -6 + -1
7y = -6 + -1

Combine like terms: -6 + -1 = -7
7y = -7

Divide each side by '7'.
y = -1

Simplifying
y = -1

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