2(6y+2)-3(5y+4)=4

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Solution for 2(6y+2)-3(5y+4)=4 equation: 


Simplifying
2(6y + 2) + -3(5y + 4) = 4

Reorder the terms:
2(2 + 6y) + -3(5y + 4) = 4
(2 * 2 + 6y * 2) + -3(5y + 4) = 4
(4 + 12y) + -3(5y + 4) = 4

Reorder the terms:
4 + 12y + -3(4 + 5y) = 4
4 + 12y + (4 * -3 + 5y * -3) = 4
4 + 12y + (-12 + -15y) = 4

Reorder the terms:
4 + -12 + 12y + -15y = 4

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

Combine like terms: 12y + -15y = -3y
-8 + -3y = 4

Solving
-8 + -3y = 4

Solving for variable 'y'.

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

Add '8' to each side of the equation.
-8 + 8 + -3y = 4 + 8

Combine like terms: -8 + 8 = 0
0 + -3y = 4 + 8
-3y = 4 + 8

Combine like terms: 4 + 8 = 12
-3y = 12

Divide each side by '-3'.
y = -4

Simplifying
y = -4

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