3(4y-5)=10y-11

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Solution for 3(4y-5)=10y-11 equation:


Simplifying
3(4y + -5) = 10y + -11

Reorder the terms:
3(-5 + 4y) = 10y + -11
(-5 * 3 + 4y * 3) = 10y + -11
(-15 + 12y) = 10y + -11

Reorder the terms:
-15 + 12y = -11 + 10y

Solving
-15 + 12y = -11 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
-15 + 12y + -10y = -11 + 10y + -10y

Combine like terms: 12y + -10y = 2y
-15 + 2y = -11 + 10y + -10y

Combine like terms: 10y + -10y = 0
-15 + 2y = -11 + 0
-15 + 2y = -11

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

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

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

Divide each side by '2'.
y = 2

Simplifying
y = 2

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