2(y+3)+2(y+5)=40

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Solution for 2(y+3)+2(y+5)=40 equation: 


Simplifying
2(y + 3) + 2(y + 5) = 40

Reorder the terms:
2(3 + y) + 2(y + 5) = 40
(3 * 2 + y * 2) + 2(y + 5) = 40
(6 + 2y) + 2(y + 5) = 40

Reorder the terms:
6 + 2y + 2(5 + y) = 40
6 + 2y + (5 * 2 + y * 2) = 40
6 + 2y + (10 + 2y) = 40

Reorder the terms:
6 + 10 + 2y + 2y = 40

Combine like terms: 6 + 10 = 16
16 + 2y + 2y = 40

Combine like terms: 2y + 2y = 4y
16 + 4y = 40

Solving
16 + 4y = 40

Solving for variable 'y'.

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

Add '-16' to each side of the equation.
16 + -16 + 4y = 40 + -16

Combine like terms: 16 + -16 = 0
0 + 4y = 40 + -16
4y = 40 + -16

Combine like terms: 40 + -16 = 24
4y = 24

Divide each side by '4'.
y = 6

Simplifying
y = 6

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