3(2y+3)-4(-y+1)=7-10

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Solution for 3(2y+3)-4(-y+1)=7-10 equation: 


Simplifying
3(2y + 3) + -4(-1y + 1) = 7 + -10

Reorder the terms:
3(3 + 2y) + -4(-1y + 1) = 7 + -10
(3 * 3 + 2y * 3) + -4(-1y + 1) = 7 + -10
(9 + 6y) + -4(-1y + 1) = 7 + -10

Reorder the terms:
9 + 6y + -4(1 + -1y) = 7 + -10
9 + 6y + (1 * -4 + -1y * -4) = 7 + -10
9 + 6y + (-4 + 4y) = 7 + -10

Reorder the terms:
9 + -4 + 6y + 4y = 7 + -10

Combine like terms: 9 + -4 = 5
5 + 6y + 4y = 7 + -10

Combine like terms: 6y + 4y = 10y
5 + 10y = 7 + -10

Combine like terms: 7 + -10 = -3
5 + 10y = -3

Solving
5 + 10y = -3

Solving for variable 'y'.

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

Add '-5' to each side of the equation.
5 + -5 + 10y = -3 + -5

Combine like terms: 5 + -5 = 0
0 + 10y = -3 + -5
10y = -3 + -5

Combine like terms: -3 + -5 = -8
10y = -8

Divide each side by '10'.
y = -0.8

Simplifying
y = -0.8

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