3(y-2)-3=4y-20

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Solution for 3(y-2)-3=4y-20 equation:


Simplifying
3(y + -2) + -3 = 4y + -20

Reorder the terms:
3(-2 + y) + -3 = 4y + -20
(-2 * 3 + y * 3) + -3 = 4y + -20
(-6 + 3y) + -3 = 4y + -20

Reorder the terms:
-6 + -3 + 3y = 4y + -20

Combine like terms: -6 + -3 = -9
-9 + 3y = 4y + -20

Reorder the terms:
-9 + 3y = -20 + 4y

Solving
-9 + 3y = -20 + 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.
-9 + 3y + -4y = -20 + 4y + -4y

Combine like terms: 3y + -4y = -1y
-9 + -1y = -20 + 4y + -4y

Combine like terms: 4y + -4y = 0
-9 + -1y = -20 + 0
-9 + -1y = -20

Add '9' to each side of the equation.
-9 + 9 + -1y = -20 + 9

Combine like terms: -9 + 9 = 0
0 + -1y = -20 + 9
-1y = -20 + 9

Combine like terms: -20 + 9 = -11
-1y = -11

Divide each side by '-1'.
y = 11

Simplifying
y = 11

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