4y-8-2y+5=3(2y-6)

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Solution for 4y-8-2y+5=3(2y-6) equation:


Simplifying
4y + -8 + -2y + 5 = 3(2y + -6)

Reorder the terms:
-8 + 5 + 4y + -2y = 3(2y + -6)

Combine like terms: -8 + 5 = -3
-3 + 4y + -2y = 3(2y + -6)

Combine like terms: 4y + -2y = 2y
-3 + 2y = 3(2y + -6)

Reorder the terms:
-3 + 2y = 3(-6 + 2y)
-3 + 2y = (-6 * 3 + 2y * 3)
-3 + 2y = (-18 + 6y)

Solving
-3 + 2y = -18 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-3 + 2y + -6y = -18 + 6y + -6y

Combine like terms: 2y + -6y = -4y
-3 + -4y = -18 + 6y + -6y

Combine like terms: 6y + -6y = 0
-3 + -4y = -18 + 0
-3 + -4y = -18

Add '3' to each side of the equation.
-3 + 3 + -4y = -18 + 3

Combine like terms: -3 + 3 = 0
0 + -4y = -18 + 3
-4y = -18 + 3

Combine like terms: -18 + 3 = -15
-4y = -15

Divide each side by '-4'.
y = 3.75

Simplifying
y = 3.75

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