5y+2(y+6)=4(y+1)-2

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Solution for 5y+2(y+6)=4(y+1)-2 equation: 


Simplifying
5y + 2(y + 6) = 4(y + 1) + -2

Reorder the terms:
5y + 2(6 + y) = 4(y + 1) + -2
5y + (6 * 2 + y * 2) = 4(y + 1) + -2
5y + (12 + 2y) = 4(y + 1) + -2

Reorder the terms:
12 + 5y + 2y = 4(y + 1) + -2

Combine like terms: 5y + 2y = 7y
12 + 7y = 4(y + 1) + -2

Reorder the terms:
12 + 7y = 4(1 + y) + -2
12 + 7y = (1 * 4 + y * 4) + -2
12 + 7y = (4 + 4y) + -2

Reorder the terms:
12 + 7y = 4 + -2 + 4y

Combine like terms: 4 + -2 = 2
12 + 7y = 2 + 4y

Solving
12 + 7y = 2 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
12 + 7y + -4y = 2 + 4y + -4y

Combine like terms: 7y + -4y = 3y
12 + 3y = 2 + 4y + -4y

Combine like terms: 4y + -4y = 0
12 + 3y = 2 + 0
12 + 3y = 2

Add '-12' to each side of the equation.
12 + -12 + 3y = 2 + -12

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

Combine like terms: 2 + -12 = -10
3y = -10

Divide each side by '3'.
y = -3.333333333

Simplifying
y = -3.333333333

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