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Simplifying 8y + -1(5 + -1y) = 6 + 2(6y + -4) 8y + (5 * -1 + -1y * -1) = 6 + 2(6y + -4) 8y + (-5 + 1y) = 6 + 2(6y + -4) Reorder the terms: -5 + 8y + 1y = 6 + 2(6y + -4) Combine like terms: 8y + 1y = 9y -5 + 9y = 6 + 2(6y + -4) Reorder the terms: -5 + 9y = 6 + 2(-4 + 6y) -5 + 9y = 6 + (-4 * 2 + 6y * 2) -5 + 9y = 6 + (-8 + 12y) Combine like terms: 6 + -8 = -2 -5 + 9y = -2 + 12y Solving -5 + 9y = -2 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -5 + 9y + -12y = -2 + 12y + -12y Combine like terms: 9y + -12y = -3y -5 + -3y = -2 + 12y + -12y Combine like terms: 12y + -12y = 0 -5 + -3y = -2 + 0 -5 + -3y = -2 Add '5' to each side of the equation. -5 + 5 + -3y = -2 + 5 Combine like terms: -5 + 5 = 0 0 + -3y = -2 + 5 -3y = -2 + 5 Combine like terms: -2 + 5 = 3 -3y = 3 Divide each side by '-3'. y = -1 Simplifying y = -1
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