3y-11=5(y-3)

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Solution for 3y-11=5(y-3) equation:


Simplifying
3y + -11 = 5(y + -3)

Reorder the terms:
-11 + 3y = 5(y + -3)

Reorder the terms:
-11 + 3y = 5(-3 + y)
-11 + 3y = (-3 * 5 + y * 5)
-11 + 3y = (-15 + 5y)

Solving
-11 + 3y = -15 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-11 + 3y + -5y = -15 + 5y + -5y

Combine like terms: 3y + -5y = -2y
-11 + -2y = -15 + 5y + -5y

Combine like terms: 5y + -5y = 0
-11 + -2y = -15 + 0
-11 + -2y = -15

Add '11' to each side of the equation.
-11 + 11 + -2y = -15 + 11

Combine like terms: -11 + 11 = 0
0 + -2y = -15 + 11
-2y = -15 + 11

Combine like terms: -15 + 11 = -4
-2y = -4

Divide each side by '-2'.
y = 2

Simplifying
y = 2

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