y+3(6y+4)=12(y+1)+5y

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Solution for y+3(6y+4)=12(y+1)+5y equation: 


Simplifying
y + 3(6y + 4) = 12(y + 1) + 5y

Reorder the terms:
y + 3(4 + 6y) = 12(y + 1) + 5y
y + (4 * 3 + 6y * 3) = 12(y + 1) + 5y
y + (12 + 18y) = 12(y + 1) + 5y

Reorder the terms:
12 + y + 18y = 12(y + 1) + 5y

Combine like terms: y + 18y = 19y
12 + 19y = 12(y + 1) + 5y

Reorder the terms:
12 + 19y = 12(1 + y) + 5y
12 + 19y = (1 * 12 + y * 12) + 5y
12 + 19y = (12 + 12y) + 5y

Combine like terms: 12y + 5y = 17y
12 + 19y = 12 + 17y

Add '-12' to each side of the equation.
12 + -12 + 19y = 12 + -12 + 17y

Combine like terms: 12 + -12 = 0
0 + 19y = 12 + -12 + 17y
19y = 12 + -12 + 17y

Combine like terms: 12 + -12 = 0
19y = 0 + 17y
19y = 17y

Solving
19y = 17y

Solving for variable 'y'.

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

Add '-17y' to each side of the equation.
19y + -17y = 17y + -17y

Combine like terms: 19y + -17y = 2y
2y = 17y + -17y

Combine like terms: 17y + -17y = 0
2y = 0

Divide each side by '2'.
y = 0

Simplifying
y = 0

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