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

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


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

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

Reorder the terms:
3 + 6y + -4(-2 + 3y) = -7
3 + 6y + (-2 * -4 + 3y * -4) = -7
3 + 6y + (8 + -12y) = -7

Reorder the terms:
3 + 8 + 6y + -12y = -7

Combine like terms: 3 + 8 = 11
11 + 6y + -12y = -7

Combine like terms: 6y + -12y = -6y
11 + -6y = -7

Solving
11 + -6y = -7

Solving for variable 'y'.

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

Add '-11' to each side of the equation.
11 + -11 + -6y = -7 + -11

Combine like terms: 11 + -11 = 0
0 + -6y = -7 + -11
-6y = -7 + -11

Combine like terms: -7 + -11 = -18
-6y = -18

Divide each side by '-6'.
y = 3

Simplifying
y = 3

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