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

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


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

Reorder the terms:
3(3 + y) + y = 2(y + 5) + -4
(3 * 3 + y * 3) + y = 2(y + 5) + -4
(9 + 3y) + y = 2(y + 5) + -4

Combine like terms: 3y + y = 4y
9 + 4y = 2(y + 5) + -4

Reorder the terms:
9 + 4y = 2(5 + y) + -4
9 + 4y = (5 * 2 + y * 2) + -4
9 + 4y = (10 + 2y) + -4

Reorder the terms:
9 + 4y = 10 + -4 + 2y

Combine like terms: 10 + -4 = 6
9 + 4y = 6 + 2y

Solving
9 + 4y = 6 + 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.
9 + 4y + -2y = 6 + 2y + -2y

Combine like terms: 4y + -2y = 2y
9 + 2y = 6 + 2y + -2y

Combine like terms: 2y + -2y = 0
9 + 2y = 6 + 0
9 + 2y = 6

Add '-9' to each side of the equation.
9 + -9 + 2y = 6 + -9

Combine like terms: 9 + -9 = 0
0 + 2y = 6 + -9
2y = 6 + -9

Combine like terms: 6 + -9 = -3
2y = -3

Divide each side by '2'.
y = -1.5

Simplifying
y = -1.5

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