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

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


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

Reorder the terms:
4(3 + y) + y = 3(y + 3) + 2
(3 * 4 + y * 4) + y = 3(y + 3) + 2
(12 + 4y) + y = 3(y + 3) + 2

Combine like terms: 4y + y = 5y
12 + 5y = 3(y + 3) + 2

Reorder the terms:
12 + 5y = 3(3 + y) + 2
12 + 5y = (3 * 3 + y * 3) + 2
12 + 5y = (9 + 3y) + 2

Reorder the terms:
12 + 5y = 9 + 2 + 3y

Combine like terms: 9 + 2 = 11
12 + 5y = 11 + 3y

Solving
12 + 5y = 11 + 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.
12 + 5y + -3y = 11 + 3y + -3y

Combine like terms: 5y + -3y = 2y
12 + 2y = 11 + 3y + -3y

Combine like terms: 3y + -3y = 0
12 + 2y = 11 + 0
12 + 2y = 11

Add '-12' to each side of the equation.
12 + -12 + 2y = 11 + -12

Combine like terms: 12 + -12 = 0
0 + 2y = 11 + -12
2y = 11 + -12

Combine like terms: 11 + -12 = -1
2y = -1

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

Simplifying
y = -0.5

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