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

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


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

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

Reorder the terms:
14 + 3 + 7y = 2y + -3

Combine like terms: 14 + 3 = 17
17 + 7y = 2y + -3

Reorder the terms:
17 + 7y = -3 + 2y

Solving
17 + 7y = -3 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
17 + 7y + -2y = -3 + 2y + -2y

Combine like terms: 7y + -2y = 5y
17 + 5y = -3 + 2y + -2y

Combine like terms: 2y + -2y = 0
17 + 5y = -3 + 0
17 + 5y = -3

Add '-17' to each side of the equation.
17 + -17 + 5y = -3 + -17

Combine like terms: 17 + -17 = 0
0 + 5y = -3 + -17
5y = -3 + -17

Combine like terms: -3 + -17 = -20
5y = -20

Divide each side by '5'.
y = -4

Simplifying
y = -4

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