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Simplifying -1(8 + -4) + -6(y + -1) = 4(y + -2) Combine like terms: 8 + -4 = 4 -1(4) + -6(y + -1) = 4(y + -2) Multiply -1 * 4 -4 + -6(y + -1) = 4(y + -2) Reorder the terms: -4 + -6(-1 + y) = 4(y + -2) -4 + (-1 * -6 + y * -6) = 4(y + -2) -4 + (6 + -6y) = 4(y + -2) Combine like terms: -4 + 6 = 2 2 + -6y = 4(y + -2) Reorder the terms: 2 + -6y = 4(-2 + y) 2 + -6y = (-2 * 4 + y * 4) 2 + -6y = (-8 + 4y) Solving 2 + -6y = -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 + -6y + -4y = -8 + 4y + -4y Combine like terms: -6y + -4y = -10y 2 + -10y = -8 + 4y + -4y Combine like terms: 4y + -4y = 0 2 + -10y = -8 + 0 2 + -10y = -8 Add '-2' to each side of the equation. 2 + -2 + -10y = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -10y = -8 + -2 -10y = -8 + -2 Combine like terms: -8 + -2 = -10 -10y = -10 Divide each side by '-10'. y = 1 Simplifying y = 1
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