7-6(4y-2)=-6(7y-5)-3

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Solution for 7-6(4y-2)=-6(7y-5)-3 equation: 


Simplifying
7 + -6(4y + -2) = -6(7y + -5) + -3

Reorder the terms:
7 + -6(-2 + 4y) = -6(7y + -5) + -3
7 + (-2 * -6 + 4y * -6) = -6(7y + -5) + -3
7 + (12 + -24y) = -6(7y + -5) + -3

Combine like terms: 7 + 12 = 19
19 + -24y = -6(7y + -5) + -3

Reorder the terms:
19 + -24y = -6(-5 + 7y) + -3
19 + -24y = (-5 * -6 + 7y * -6) + -3
19 + -24y = (30 + -42y) + -3

Reorder the terms:
19 + -24y = 30 + -3 + -42y

Combine like terms: 30 + -3 = 27
19 + -24y = 27 + -42y

Solving
19 + -24y = 27 + -42y

Solving for variable 'y'.

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

Add '42y' to each side of the equation.
19 + -24y + 42y = 27 + -42y + 42y

Combine like terms: -24y + 42y = 18y
19 + 18y = 27 + -42y + 42y

Combine like terms: -42y + 42y = 0
19 + 18y = 27 + 0
19 + 18y = 27

Add '-19' to each side of the equation.
19 + -19 + 18y = 27 + -19

Combine like terms: 19 + -19 = 0
0 + 18y = 27 + -19
18y = 27 + -19

Combine like terms: 27 + -19 = 8
18y = 8

Divide each side by '18'.
y = 0.4444444444

Simplifying
y = 0.4444444444

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