3y-11=7(y-1)

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Solution for 3y-11=7(y-1) equation:


Simplifying
3y + -11 = 7(y + -1)

Reorder the terms:
-11 + 3y = 7(y + -1)

Reorder the terms:
-11 + 3y = 7(-1 + y)
-11 + 3y = (-1 * 7 + y * 7)
-11 + 3y = (-7 + 7y)

Solving
-11 + 3y = -7 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-11 + 3y + -7y = -7 + 7y + -7y

Combine like terms: 3y + -7y = -4y
-11 + -4y = -7 + 7y + -7y

Combine like terms: 7y + -7y = 0
-11 + -4y = -7 + 0
-11 + -4y = -7

Add '11' to each side of the equation.
-11 + 11 + -4y = -7 + 11

Combine like terms: -11 + 11 = 0
0 + -4y = -7 + 11
-4y = -7 + 11

Combine like terms: -7 + 11 = 4
-4y = 4

Divide each side by '-4'.
y = -1

Simplifying
y = -1

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