-4(4y-5)+6y=2(y+1)

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Solution for -4(4y-5)+6y=2(y+1) equation: 


Simplifying
-4(4y + -5) + 6y = 2(y + 1)

Reorder the terms:
-4(-5 + 4y) + 6y = 2(y + 1)
(-5 * -4 + 4y * -4) + 6y = 2(y + 1)
(20 + -16y) + 6y = 2(y + 1)

Combine like terms: -16y + 6y = -10y
20 + -10y = 2(y + 1)

Reorder the terms:
20 + -10y = 2(1 + y)
20 + -10y = (1 * 2 + y * 2)
20 + -10y = (2 + 2y)

Solving
20 + -10y = 2 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
20 + -10y + -2y = 2 + 2y + -2y

Combine like terms: -10y + -2y = -12y
20 + -12y = 2 + 2y + -2y

Combine like terms: 2y + -2y = 0
20 + -12y = 2 + 0
20 + -12y = 2

Add '-20' to each side of the equation.
20 + -20 + -12y = 2 + -20

Combine like terms: 20 + -20 = 0
0 + -12y = 2 + -20
-12y = 2 + -20

Combine like terms: 2 + -20 = -18
-12y = -18

Divide each side by '-12'.
y = 1.5

Simplifying
y = 1.5

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