2y-4=3(y-5)

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Solution for 2y-4=3(y-5) equation:


Simplifying
2y + -4 = 3(y + -5)

Reorder the terms:
-4 + 2y = 3(y + -5)

Reorder the terms:
-4 + 2y = 3(-5 + y)
-4 + 2y = (-5 * 3 + y * 3)
-4 + 2y = (-15 + 3y)

Solving
-4 + 2y = -15 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-4 + 2y + -3y = -15 + 3y + -3y

Combine like terms: 2y + -3y = -1y
-4 + -1y = -15 + 3y + -3y

Combine like terms: 3y + -3y = 0
-4 + -1y = -15 + 0
-4 + -1y = -15

Add '4' to each side of the equation.
-4 + 4 + -1y = -15 + 4

Combine like terms: -4 + 4 = 0
0 + -1y = -15 + 4
-1y = -15 + 4

Combine like terms: -15 + 4 = -11
-1y = -11

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

Simplifying
y = 11

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