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Simplifying 3(4y + 5) = 2(5y + -4) Reorder the terms: 3(5 + 4y) = 2(5y + -4) (5 * 3 + 4y * 3) = 2(5y + -4) (15 + 12y) = 2(5y + -4) Reorder the terms: 15 + 12y = 2(-4 + 5y) 15 + 12y = (-4 * 2 + 5y * 2) 15 + 12y = (-8 + 10y) Solving 15 + 12y = -8 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 15 + 12y + -10y = -8 + 10y + -10y Combine like terms: 12y + -10y = 2y 15 + 2y = -8 + 10y + -10y Combine like terms: 10y + -10y = 0 15 + 2y = -8 + 0 15 + 2y = -8 Add '-15' to each side of the equation. 15 + -15 + 2y = -8 + -15 Combine like terms: 15 + -15 = 0 0 + 2y = -8 + -15 2y = -8 + -15 Combine like terms: -8 + -15 = -23 2y = -23 Divide each side by '2'. y = -11.5 Simplifying y = -11.5
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