2(5y+2)-2y=3(2y+3)+7

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Solution for 2(5y+2)-2y=3(2y+3)+7 equation: 


Simplifying
2(5y + 2) + -2y = 3(2y + 3) + 7

Reorder the terms:
2(2 + 5y) + -2y = 3(2y + 3) + 7
(2 * 2 + 5y * 2) + -2y = 3(2y + 3) + 7
(4 + 10y) + -2y = 3(2y + 3) + 7

Combine like terms: 10y + -2y = 8y
4 + 8y = 3(2y + 3) + 7

Reorder the terms:
4 + 8y = 3(3 + 2y) + 7
4 + 8y = (3 * 3 + 2y * 3) + 7
4 + 8y = (9 + 6y) + 7

Reorder the terms:
4 + 8y = 9 + 7 + 6y

Combine like terms: 9 + 7 = 16
4 + 8y = 16 + 6y

Solving
4 + 8y = 16 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
4 + 8y + -6y = 16 + 6y + -6y

Combine like terms: 8y + -6y = 2y
4 + 2y = 16 + 6y + -6y

Combine like terms: 6y + -6y = 0
4 + 2y = 16 + 0
4 + 2y = 16

Add '-4' to each side of the equation.
4 + -4 + 2y = 16 + -4

Combine like terms: 4 + -4 = 0
0 + 2y = 16 + -4
2y = 16 + -4

Combine like terms: 16 + -4 = 12
2y = 12

Divide each side by '2'.
y = 6

Simplifying
y = 6

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