3(y+2)+4=5(y-1)+y

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Solution for 3(y+2)+4=5(y-1)+y equation: 


Simplifying
3(y + 2) + 4 = 5(y + -1) + y

Reorder the terms:
3(2 + y) + 4 = 5(y + -1) + y
(2 * 3 + y * 3) + 4 = 5(y + -1) + y
(6 + 3y) + 4 = 5(y + -1) + y

Reorder the terms:
6 + 4 + 3y = 5(y + -1) + y

Combine like terms: 6 + 4 = 10
10 + 3y = 5(y + -1) + y

Reorder the terms:
10 + 3y = 5(-1 + y) + y
10 + 3y = (-1 * 5 + y * 5) + y
10 + 3y = (-5 + 5y) + y

Combine like terms: 5y + y = 6y
10 + 3y = -5 + 6y

Solving
10 + 3y = -5 + 6y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-6y' to each side of the equation.
10 + 3y + -6y = -5 + 6y + -6y

Combine like terms: 3y + -6y = -3y
10 + -3y = -5 + 6y + -6y

Combine like terms: 6y + -6y = 0
10 + -3y = -5 + 0
10 + -3y = -5

Add '-10' to each side of the equation.
10 + -10 + -3y = -5 + -10

Combine like terms: 10 + -10 = 0
0 + -3y = -5 + -10
-3y = -5 + -10

Combine like terms: -5 + -10 = -15
-3y = -15

Divide each side by '-3'.
y = 5

Simplifying
y = 5

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