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

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


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

Reorder the terms:
5(3 + y) + y = 3(y + 2) + -4
(3 * 5 + y * 5) + y = 3(y + 2) + -4
(15 + 5y) + y = 3(y + 2) + -4

Combine like terms: 5y + y = 6y
15 + 6y = 3(y + 2) + -4

Reorder the terms:
15 + 6y = 3(2 + y) + -4
15 + 6y = (2 * 3 + y * 3) + -4
15 + 6y = (6 + 3y) + -4

Reorder the terms:
15 + 6y = 6 + -4 + 3y

Combine like terms: 6 + -4 = 2
15 + 6y = 2 + 3y

Solving
15 + 6y = 2 + 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.
15 + 6y + -3y = 2 + 3y + -3y

Combine like terms: 6y + -3y = 3y
15 + 3y = 2 + 3y + -3y

Combine like terms: 3y + -3y = 0
15 + 3y = 2 + 0
15 + 3y = 2

Add '-15' to each side of the equation.
15 + -15 + 3y = 2 + -15

Combine like terms: 15 + -15 = 0
0 + 3y = 2 + -15
3y = 2 + -15

Combine like terms: 2 + -15 = -13
3y = -13

Divide each side by '3'.
y = -4.333333333

Simplifying
y = -4.333333333

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