2(y+3)+1=3(y-7)

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Solution for 2(y+3)+1=3(y-7) equation:


Simplifying
2(y + 3) + 1 = 3(y + -7)

Reorder the terms:
2(3 + y) + 1 = 3(y + -7)
(3 * 2 + y * 2) + 1 = 3(y + -7)
(6 + 2y) + 1 = 3(y + -7)

Reorder the terms:
6 + 1 + 2y = 3(y + -7)

Combine like terms: 6 + 1 = 7
7 + 2y = 3(y + -7)

Reorder the terms:
7 + 2y = 3(-7 + y)
7 + 2y = (-7 * 3 + y * 3)
7 + 2y = (-21 + 3y)

Solving
7 + 2y = -21 + 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.
7 + 2y + -3y = -21 + 3y + -3y

Combine like terms: 2y + -3y = -1y
7 + -1y = -21 + 3y + -3y

Combine like terms: 3y + -3y = 0
7 + -1y = -21 + 0
7 + -1y = -21

Add '-7' to each side of the equation.
7 + -7 + -1y = -21 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = -21 + -7
-1y = -21 + -7

Combine like terms: -21 + -7 = -28
-1y = -28

Divide each side by '-1'.
y = 28

Simplifying
y = 28

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