6+2(-5y+4)=4(-7y+5)+4

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Solution for 6+2(-5y+4)=4(-7y+5)+4 equation: 


Simplifying
6 + 2(-5y + 4) = 4(-7y + 5) + 4

Reorder the terms:
6 + 2(4 + -5y) = 4(-7y + 5) + 4
6 + (4 * 2 + -5y * 2) = 4(-7y + 5) + 4
6 + (8 + -10y) = 4(-7y + 5) + 4

Combine like terms: 6 + 8 = 14
14 + -10y = 4(-7y + 5) + 4

Reorder the terms:
14 + -10y = 4(5 + -7y) + 4
14 + -10y = (5 * 4 + -7y * 4) + 4
14 + -10y = (20 + -28y) + 4

Reorder the terms:
14 + -10y = 20 + 4 + -28y

Combine like terms: 20 + 4 = 24
14 + -10y = 24 + -28y

Solving
14 + -10y = 24 + -28y

Solving for variable 'y'.

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

Add '28y' to each side of the equation.
14 + -10y + 28y = 24 + -28y + 28y

Combine like terms: -10y + 28y = 18y
14 + 18y = 24 + -28y + 28y

Combine like terms: -28y + 28y = 0
14 + 18y = 24 + 0
14 + 18y = 24

Add '-14' to each side of the equation.
14 + -14 + 18y = 24 + -14

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

Combine like terms: 24 + -14 = 10
18y = 10

Divide each side by '18'.
y = 0.5555555556

Simplifying
y = 0.5555555556

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