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Simplifying 8y + 2 + -2(-2y + -5) = 3(y + -1) Reorder the terms: 8y + 2 + -2(-5 + -2y) = 3(y + -1) 8y + 2 + (-5 * -2 + -2y * -2) = 3(y + -1) 8y + 2 + (10 + 4y) = 3(y + -1) Reorder the terms: 2 + 10 + 8y + 4y = 3(y + -1) Combine like terms: 2 + 10 = 12 12 + 8y + 4y = 3(y + -1) Combine like terms: 8y + 4y = 12y 12 + 12y = 3(y + -1) Reorder the terms: 12 + 12y = 3(-1 + y) 12 + 12y = (-1 * 3 + y * 3) 12 + 12y = (-3 + 3y) Solving 12 + 12y = -3 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 12 + 12y + -3y = -3 + 3y + -3y Combine like terms: 12y + -3y = 9y 12 + 9y = -3 + 3y + -3y Combine like terms: 3y + -3y = 0 12 + 9y = -3 + 0 12 + 9y = -3 Add '-12' to each side of the equation. 12 + -12 + 9y = -3 + -12 Combine like terms: 12 + -12 = 0 0 + 9y = -3 + -12 9y = -3 + -12 Combine like terms: -3 + -12 = -15 9y = -15 Divide each side by '9'. y = -1.666666667 Simplifying y = -1.666666667
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