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Simplifying 3(y + 5) + -1(4y + -8) = 2y + 10 Reorder the terms: 3(5 + y) + -1(4y + -8) = 2y + 10 (5 * 3 + y * 3) + -1(4y + -8) = 2y + 10 (15 + 3y) + -1(4y + -8) = 2y + 10 Reorder the terms: 15 + 3y + -1(-8 + 4y) = 2y + 10 15 + 3y + (-8 * -1 + 4y * -1) = 2y + 10 15 + 3y + (8 + -4y) = 2y + 10 Reorder the terms: 15 + 8 + 3y + -4y = 2y + 10 Combine like terms: 15 + 8 = 23 23 + 3y + -4y = 2y + 10 Combine like terms: 3y + -4y = -1y 23 + -1y = 2y + 10 Reorder the terms: 23 + -1y = 10 + 2y Solving 23 + -1y = 10 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 23 + -1y + -2y = 10 + 2y + -2y Combine like terms: -1y + -2y = -3y 23 + -3y = 10 + 2y + -2y Combine like terms: 2y + -2y = 0 23 + -3y = 10 + 0 23 + -3y = 10 Add '-23' to each side of the equation. 23 + -23 + -3y = 10 + -23 Combine like terms: 23 + -23 = 0 0 + -3y = 10 + -23 -3y = 10 + -23 Combine like terms: 10 + -23 = -13 -3y = -13 Divide each side by '-3'. y = 4.333333333 Simplifying y = 4.333333333
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