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Simplifying 3(5 + 6y) = 2(-5 + 4y) (5 * 3 + 6y * 3) = 2(-5 + 4y) (15 + 18y) = 2(-5 + 4y) 15 + 18y = (-5 * 2 + 4y * 2) 15 + 18y = (-10 + 8y) Solving 15 + 18y = -10 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 15 + 18y + -8y = -10 + 8y + -8y Combine like terms: 18y + -8y = 10y 15 + 10y = -10 + 8y + -8y Combine like terms: 8y + -8y = 0 15 + 10y = -10 + 0 15 + 10y = -10 Add '-15' to each side of the equation. 15 + -15 + 10y = -10 + -15 Combine like terms: 15 + -15 = 0 0 + 10y = -10 + -15 10y = -10 + -15 Combine like terms: -10 + -15 = -25 10y = -25 Divide each side by '10'. y = -2.5 Simplifying y = -2.5
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