4(y+2)+3(y+6)=-12

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Solution for 4(y+2)+3(y+6)=-12 equation: 


Simplifying
4(y + 2) + 3(y + 6) = -12

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

Reorder the terms:
8 + 4y + 3(6 + y) = -12
8 + 4y + (6 * 3 + y * 3) = -12
8 + 4y + (18 + 3y) = -12

Reorder the terms:
8 + 18 + 4y + 3y = -12

Combine like terms: 8 + 18 = 26
26 + 4y + 3y = -12

Combine like terms: 4y + 3y = 7y
26 + 7y = -12

Solving
26 + 7y = -12

Solving for variable 'y'.

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

Add '-26' to each side of the equation.
26 + -26 + 7y = -12 + -26

Combine like terms: 26 + -26 = 0
0 + 7y = -12 + -26
7y = -12 + -26

Combine like terms: -12 + -26 = -38
7y = -38

Divide each side by '7'.
y = -5.428571429

Simplifying
y = -5.428571429

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