3(4y+3)-4(-y+1)=7y-10

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Solution for 3(4y+3)-4(-y+1)=7y-10 equation: 


Simplifying
3(4y + 3) + -4(-1y + 1) = 7y + -10

Reorder the terms:
3(3 + 4y) + -4(-1y + 1) = 7y + -10
(3 * 3 + 4y * 3) + -4(-1y + 1) = 7y + -10
(9 + 12y) + -4(-1y + 1) = 7y + -10

Reorder the terms:
9 + 12y + -4(1 + -1y) = 7y + -10
9 + 12y + (1 * -4 + -1y * -4) = 7y + -10
9 + 12y + (-4 + 4y) = 7y + -10

Reorder the terms:
9 + -4 + 12y + 4y = 7y + -10

Combine like terms: 9 + -4 = 5
5 + 12y + 4y = 7y + -10

Combine like terms: 12y + 4y = 16y
5 + 16y = 7y + -10

Reorder the terms:
5 + 16y = -10 + 7y

Solving
5 + 16y = -10 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
5 + 16y + -7y = -10 + 7y + -7y

Combine like terms: 16y + -7y = 9y
5 + 9y = -10 + 7y + -7y

Combine like terms: 7y + -7y = 0
5 + 9y = -10 + 0
5 + 9y = -10

Add '-5' to each side of the equation.
5 + -5 + 9y = -10 + -5

Combine like terms: 5 + -5 = 0
0 + 9y = -10 + -5
9y = -10 + -5

Combine like terms: -10 + -5 = -15
9y = -15

Divide each side by '9'.
y = -1.666666667

Simplifying
y = -1.666666667

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