3(y+7)+y=2(y+4)-5

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Solution for 3(y+7)+y=2(y+4)-5 equation:


Simplifying
3(y + 7) + y = 2(y + 4) + -5

Reorder the terms:
3(7 + y) + y = 2(y + 4) + -5
(7 * 3 + y * 3) + y = 2(y + 4) + -5
(21 + 3y) + y = 2(y + 4) + -5

Combine like terms: 3y + y = 4y
21 + 4y = 2(y + 4) + -5

Reorder the terms:
21 + 4y = 2(4 + y) + -5
21 + 4y = (4 * 2 + y * 2) + -5
21 + 4y = (8 + 2y) + -5

Reorder the terms:
21 + 4y = 8 + -5 + 2y

Combine like terms: 8 + -5 = 3
21 + 4y = 3 + 2y

Solving
21 + 4y = 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.
21 + 4y + -2y = 3 + 2y + -2y

Combine like terms: 4y + -2y = 2y
21 + 2y = 3 + 2y + -2y

Combine like terms: 2y + -2y = 0
21 + 2y = 3 + 0
21 + 2y = 3

Add '-21' to each side of the equation.
21 + -21 + 2y = 3 + -21

Combine like terms: 21 + -21 = 0
0 + 2y = 3 + -21
2y = 3 + -21

Combine like terms: 3 + -21 = -18
2y = -18

Divide each side by '2'.
y = -9

Simplifying
y = -9

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