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

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


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

Reorder the terms:
7(2 + y) + y = 3(y + 2) + 7
(2 * 7 + y * 7) + y = 3(y + 2) + 7
(14 + 7y) + y = 3(y + 2) + 7

Combine like terms: 7y + y = 8y
14 + 8y = 3(y + 2) + 7

Reorder the terms:
14 + 8y = 3(2 + y) + 7
14 + 8y = (2 * 3 + y * 3) + 7
14 + 8y = (6 + 3y) + 7

Reorder the terms:
14 + 8y = 6 + 7 + 3y

Combine like terms: 6 + 7 = 13
14 + 8y = 13 + 3y

Solving
14 + 8y = 13 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
14 + 8y + -3y = 13 + 3y + -3y

Combine like terms: 8y + -3y = 5y
14 + 5y = 13 + 3y + -3y

Combine like terms: 3y + -3y = 0
14 + 5y = 13 + 0
14 + 5y = 13

Add '-14' to each side of the equation.
14 + -14 + 5y = 13 + -14

Combine like terms: 14 + -14 = 0
0 + 5y = 13 + -14
5y = 13 + -14

Combine like terms: 13 + -14 = -1
5y = -1

Divide each side by '5'.
y = -0.2

Simplifying
y = -0.2

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