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Simplifying -5(y + -3) + 8 = 15 + -2(3y + 1) Reorder the terms: -5(-3 + y) + 8 = 15 + -2(3y + 1) (-3 * -5 + y * -5) + 8 = 15 + -2(3y + 1) (15 + -5y) + 8 = 15 + -2(3y + 1) Reorder the terms: 15 + 8 + -5y = 15 + -2(3y + 1) Combine like terms: 15 + 8 = 23 23 + -5y = 15 + -2(3y + 1) Reorder the terms: 23 + -5y = 15 + -2(1 + 3y) 23 + -5y = 15 + (1 * -2 + 3y * -2) 23 + -5y = 15 + (-2 + -6y) Combine like terms: 15 + -2 = 13 23 + -5y = 13 + -6y Solving 23 + -5y = 13 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 23 + -5y + 6y = 13 + -6y + 6y Combine like terms: -5y + 6y = 1y 23 + 1y = 13 + -6y + 6y Combine like terms: -6y + 6y = 0 23 + 1y = 13 + 0 23 + 1y = 13 Add '-23' to each side of the equation. 23 + -23 + 1y = 13 + -23 Combine like terms: 23 + -23 = 0 0 + 1y = 13 + -23 1y = 13 + -23 Combine like terms: 13 + -23 = -10 1y = -10 Divide each side by '1'. y = -10 Simplifying y = -10
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