3(y+6)+y=2(y+5)+7

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Solution for 3(y+6)+y=2(y+5)+7 equation:


Simplifying
3(y + 6) + y = 2(y + 5) + 7

Reorder the terms:
3(6 + y) + y = 2(y + 5) + 7
(6 * 3 + y * 3) + y = 2(y + 5) + 7
(18 + 3y) + y = 2(y + 5) + 7

Combine like terms: 3y + y = 4y
18 + 4y = 2(y + 5) + 7

Reorder the terms:
18 + 4y = 2(5 + y) + 7
18 + 4y = (5 * 2 + y * 2) + 7
18 + 4y = (10 + 2y) + 7

Reorder the terms:
18 + 4y = 10 + 7 + 2y

Combine like terms: 10 + 7 = 17
18 + 4y = 17 + 2y

Solving
18 + 4y = 17 + 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.
18 + 4y + -2y = 17 + 2y + -2y

Combine like terms: 4y + -2y = 2y
18 + 2y = 17 + 2y + -2y

Combine like terms: 2y + -2y = 0
18 + 2y = 17 + 0
18 + 2y = 17

Add '-18' to each side of the equation.
18 + -18 + 2y = 17 + -18

Combine like terms: 18 + -18 = 0
0 + 2y = 17 + -18
2y = 17 + -18

Combine like terms: 17 + -18 = -1
2y = -1

Divide each side by '2'.
y = -0.5

Simplifying
y = -0.5

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