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Simplifying 6(y + -4) = -4(-6y + 8) + -6y Reorder the terms: 6(-4 + y) = -4(-6y + 8) + -6y (-4 * 6 + y * 6) = -4(-6y + 8) + -6y (-24 + 6y) = -4(-6y + 8) + -6y Reorder the terms: -24 + 6y = -4(8 + -6y) + -6y -24 + 6y = (8 * -4 + -6y * -4) + -6y -24 + 6y = (-32 + 24y) + -6y Combine like terms: 24y + -6y = 18y -24 + 6y = -32 + 18y Solving -24 + 6y = -32 + 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. -24 + 6y + -18y = -32 + 18y + -18y Combine like terms: 6y + -18y = -12y -24 + -12y = -32 + 18y + -18y Combine like terms: 18y + -18y = 0 -24 + -12y = -32 + 0 -24 + -12y = -32 Add '24' to each side of the equation. -24 + 24 + -12y = -32 + 24 Combine like terms: -24 + 24 = 0 0 + -12y = -32 + 24 -12y = -32 + 24 Combine like terms: -32 + 24 = -8 -12y = -8 Divide each side by '-12'. y = 0.6666666667 Simplifying y = 0.6666666667
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