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

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


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

Reorder the terms:
2(6 + 4y) + -2(5y + 2) = 4
(6 * 2 + 4y * 2) + -2(5y + 2) = 4
(12 + 8y) + -2(5y + 2) = 4

Reorder the terms:
12 + 8y + -2(2 + 5y) = 4
12 + 8y + (2 * -2 + 5y * -2) = 4
12 + 8y + (-4 + -10y) = 4

Reorder the terms:
12 + -4 + 8y + -10y = 4

Combine like terms: 12 + -4 = 8
8 + 8y + -10y = 4

Combine like terms: 8y + -10y = -2y
8 + -2y = 4

Solving
8 + -2y = 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 + -2y = 4 + -8

Combine like terms: 8 + -8 = 0
0 + -2y = 4 + -8
-2y = 4 + -8

Combine like terms: 4 + -8 = -4
-2y = -4

Divide each side by '-2'.
y = 2

Simplifying
y = 2

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