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Simplifying 5(2y + 3) = 4 + -1(3y + -8) Reorder the terms: 5(3 + 2y) = 4 + -1(3y + -8) (3 * 5 + 2y * 5) = 4 + -1(3y + -8) (15 + 10y) = 4 + -1(3y + -8) Reorder the terms: 15 + 10y = 4 + -1(-8 + 3y) 15 + 10y = 4 + (-8 * -1 + 3y * -1) 15 + 10y = 4 + (8 + -3y) Combine like terms: 4 + 8 = 12 15 + 10y = 12 + -3y Solving 15 + 10y = 12 + -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. 15 + 10y + 3y = 12 + -3y + 3y Combine like terms: 10y + 3y = 13y 15 + 13y = 12 + -3y + 3y Combine like terms: -3y + 3y = 0 15 + 13y = 12 + 0 15 + 13y = 12 Add '-15' to each side of the equation. 15 + -15 + 13y = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 13y = 12 + -15 13y = 12 + -15 Combine like terms: 12 + -15 = -3 13y = -3 Divide each side by '13'. y = -0.2307692308 Simplifying y = -0.2307692308
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