2(12y+8)+2(5y+2)=360

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Solution for 2(12y+8)+2(5y+2)=360 equation: 


Simplifying
2(12y + 8) + 2(5y + 2) = 360

Reorder the terms:
2(8 + 12y) + 2(5y + 2) = 360
(8 * 2 + 12y * 2) + 2(5y + 2) = 360
(16 + 24y) + 2(5y + 2) = 360

Reorder the terms:
16 + 24y + 2(2 + 5y) = 360
16 + 24y + (2 * 2 + 5y * 2) = 360
16 + 24y + (4 + 10y) = 360

Reorder the terms:
16 + 4 + 24y + 10y = 360

Combine like terms: 16 + 4 = 20
20 + 24y + 10y = 360

Combine like terms: 24y + 10y = 34y
20 + 34y = 360

Solving
20 + 34y = 360

Solving for variable 'y'.

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

Add '-20' to each side of the equation.
20 + -20 + 34y = 360 + -20

Combine like terms: 20 + -20 = 0
0 + 34y = 360 + -20
34y = 360 + -20

Combine like terms: 360 + -20 = 340
34y = 340

Divide each side by '34'.
y = 10

Simplifying
y = 10

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