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

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


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

Reorder the terms:
-8 + 6(3 + 4y) = 8(-2y + -3) + -6
-8 + (3 * 6 + 4y * 6) = 8(-2y + -3) + -6
-8 + (18 + 24y) = 8(-2y + -3) + -6

Combine like terms: -8 + 18 = 10
10 + 24y = 8(-2y + -3) + -6

Reorder the terms:
10 + 24y = 8(-3 + -2y) + -6
10 + 24y = (-3 * 8 + -2y * 8) + -6
10 + 24y = (-24 + -16y) + -6

Reorder the terms:
10 + 24y = -24 + -6 + -16y

Combine like terms: -24 + -6 = -30
10 + 24y = -30 + -16y

Solving
10 + 24y = -30 + -16y

Solving for variable 'y'.

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

Add '16y' to each side of the equation.
10 + 24y + 16y = -30 + -16y + 16y

Combine like terms: 24y + 16y = 40y
10 + 40y = -30 + -16y + 16y

Combine like terms: -16y + 16y = 0
10 + 40y = -30 + 0
10 + 40y = -30

Add '-10' to each side of the equation.
10 + -10 + 40y = -30 + -10

Combine like terms: 10 + -10 = 0
0 + 40y = -30 + -10
40y = -30 + -10

Combine like terms: -30 + -10 = -40
40y = -40

Divide each side by '40'.
y = -1

Simplifying
y = -1

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