4(3+7y)+6(2-y)=2

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Solution for 4(3+7y)+6(2-y)=2 equation: 


Simplifying
4(3 + 7y) + 6(2 + -1y) = 2
(3 * 4 + 7y * 4) + 6(2 + -1y) = 2
(12 + 28y) + 6(2 + -1y) = 2
12 + 28y + (2 * 6 + -1y * 6) = 2
12 + 28y + (12 + -6y) = 2

Reorder the terms:
12 + 12 + 28y + -6y = 2

Combine like terms: 12 + 12 = 24
24 + 28y + -6y = 2

Combine like terms: 28y + -6y = 22y
24 + 22y = 2

Solving
24 + 22y = 2

Solving for variable 'y'.

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

Add '-24' to each side of the equation.
24 + -24 + 22y = 2 + -24

Combine like terms: 24 + -24 = 0
0 + 22y = 2 + -24
22y = 2 + -24

Combine like terms: 2 + -24 = -22
22y = -22

Divide each side by '22'.
y = -1

Simplifying
y = -1

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