3y-3=7(2y-2)

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Solution for 3y-3=7(2y-2) equation:


Simplifying
3y + -3 = 7(2y + -2)

Reorder the terms:
-3 + 3y = 7(2y + -2)

Reorder the terms:
-3 + 3y = 7(-2 + 2y)
-3 + 3y = (-2 * 7 + 2y * 7)
-3 + 3y = (-14 + 14y)

Solving
-3 + 3y = -14 + 14y

Solving for variable 'y'.

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

Add '-14y' to each side of the equation.
-3 + 3y + -14y = -14 + 14y + -14y

Combine like terms: 3y + -14y = -11y
-3 + -11y = -14 + 14y + -14y

Combine like terms: 14y + -14y = 0
-3 + -11y = -14 + 0
-3 + -11y = -14

Add '3' to each side of the equation.
-3 + 3 + -11y = -14 + 3

Combine like terms: -3 + 3 = 0
0 + -11y = -14 + 3
-11y = -14 + 3

Combine like terms: -14 + 3 = -11
-11y = -11

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

Simplifying
y = 1

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