3y-6=4(y-3)

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Solution for 3y-6=4(y-3) equation:


Simplifying
3y + -6 = 4(y + -3)

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

Reorder the terms:
-6 + 3y = 4(-3 + y)
-6 + 3y = (-3 * 4 + y * 4)
-6 + 3y = (-12 + 4y)

Solving
-6 + 3y = -12 + 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.
-6 + 3y + -4y = -12 + 4y + -4y

Combine like terms: 3y + -4y = -1y
-6 + -1y = -12 + 4y + -4y

Combine like terms: 4y + -4y = 0
-6 + -1y = -12 + 0
-6 + -1y = -12

Add '6' to each side of the equation.
-6 + 6 + -1y = -12 + 6

Combine like terms: -6 + 6 = 0
0 + -1y = -12 + 6
-1y = -12 + 6

Combine like terms: -12 + 6 = -6
-1y = -6

Divide each side by '-1'.
y = 6

Simplifying
y = 6

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