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

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


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

Reorder the terms:
4(-3 + y) + -2y = (3y + 1)
(-3 * 4 + y * 4) + -2y = (3y + 1)
(-12 + 4y) + -2y = (3y + 1)

Combine like terms: 4y + -2y = 2y
-12 + 2y = (3y + 1)

Reorder the terms:
-12 + 2y = (1 + 3y)

Remove parenthesis around (1 + 3y)
-12 + 2y = 1 + 3y

Solving
-12 + 2y = 1 + 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 + 2y + -3y = 1 + 3y + -3y

Combine like terms: 2y + -3y = -1y
-12 + -1y = 1 + 3y + -3y

Combine like terms: 3y + -3y = 0
-12 + -1y = 1 + 0
-12 + -1y = 1

Add '12' to each side of the equation.
-12 + 12 + -1y = 1 + 12

Combine like terms: -12 + 12 = 0
0 + -1y = 1 + 12
-1y = 1 + 12

Combine like terms: 1 + 12 = 13
-1y = 13

Divide each side by '-1'.
y = -13

Simplifying
y = -13

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