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

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


Simplifying
-3(2y + -5) + -1y = -4(y + -2)

Reorder the terms:
-3(-5 + 2y) + -1y = -4(y + -2)
(-5 * -3 + 2y * -3) + -1y = -4(y + -2)
(15 + -6y) + -1y = -4(y + -2)

Combine like terms: -6y + -1y = -7y
15 + -7y = -4(y + -2)

Reorder the terms:
15 + -7y = -4(-2 + y)
15 + -7y = (-2 * -4 + y * -4)
15 + -7y = (8 + -4y)

Solving
15 + -7y = 8 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
15 + -7y + 4y = 8 + -4y + 4y

Combine like terms: -7y + 4y = -3y
15 + -3y = 8 + -4y + 4y

Combine like terms: -4y + 4y = 0
15 + -3y = 8 + 0
15 + -3y = 8

Add '-15' to each side of the equation.
15 + -15 + -3y = 8 + -15

Combine like terms: 15 + -15 = 0
0 + -3y = 8 + -15
-3y = 8 + -15

Combine like terms: 8 + -15 = -7
-3y = -7

Divide each side by '-3'.
y = 2.333333333

Simplifying
y = 2.333333333

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