4(y+2)-16=3(6y-8)

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Solution for 4(y+2)-16=3(6y-8) equation:


Simplifying
4(y + 2) + -16 = 3(6y + -8)

Reorder the terms:
4(2 + y) + -16 = 3(6y + -8)
(2 * 4 + y * 4) + -16 = 3(6y + -8)
(8 + 4y) + -16 = 3(6y + -8)

Reorder the terms:
8 + -16 + 4y = 3(6y + -8)

Combine like terms: 8 + -16 = -8
-8 + 4y = 3(6y + -8)

Reorder the terms:
-8 + 4y = 3(-8 + 6y)
-8 + 4y = (-8 * 3 + 6y * 3)
-8 + 4y = (-24 + 18y)

Solving
-8 + 4y = -24 + 18y

Solving for variable 'y'.

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

Add '-18y' to each side of the equation.
-8 + 4y + -18y = -24 + 18y + -18y

Combine like terms: 4y + -18y = -14y
-8 + -14y = -24 + 18y + -18y

Combine like terms: 18y + -18y = 0
-8 + -14y = -24 + 0
-8 + -14y = -24

Add '8' to each side of the equation.
-8 + 8 + -14y = -24 + 8

Combine like terms: -8 + 8 = 0
0 + -14y = -24 + 8
-14y = -24 + 8

Combine like terms: -24 + 8 = -16
-14y = -16

Divide each side by '-14'.
y = 1.142857143

Simplifying
y = 1.142857143

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