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Simplifying -1(8 + -1y) + -6(y + -1) = 4(y + -2) (8 * -1 + -1y * -1) + -6(y + -1) = 4(y + -2) (-8 + 1y) + -6(y + -1) = 4(y + -2) Reorder the terms: -8 + 1y + -6(-1 + y) = 4(y + -2) -8 + 1y + (-1 * -6 + y * -6) = 4(y + -2) -8 + 1y + (6 + -6y) = 4(y + -2) Reorder the terms: -8 + 6 + 1y + -6y = 4(y + -2) Combine like terms: -8 + 6 = -2 -2 + 1y + -6y = 4(y + -2) Combine like terms: 1y + -6y = -5y -2 + -5y = 4(y + -2) Reorder the terms: -2 + -5y = 4(-2 + y) -2 + -5y = (-2 * 4 + y * 4) -2 + -5y = (-8 + 4y) Solving -2 + -5y = -8 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -2 + -5y + -4y = -8 + 4y + -4y Combine like terms: -5y + -4y = -9y -2 + -9y = -8 + 4y + -4y Combine like terms: 4y + -4y = 0 -2 + -9y = -8 + 0 -2 + -9y = -8 Add '2' to each side of the equation. -2 + 2 + -9y = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -9y = -8 + 2 -9y = -8 + 2 Combine like terms: -8 + 2 = -6 -9y = -6 Divide each side by '-9'. y = 0.6666666667 Simplifying y = 0.6666666667
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