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Simplifying 3(6 + 5y) = -2(-5 + 4y) (6 * 3 + 5y * 3) = -2(-5 + 4y) (18 + 15y) = -2(-5 + 4y) 18 + 15y = (-5 * -2 + 4y * -2) 18 + 15y = (10 + -8y) Solving 18 + 15y = 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. 18 + 15y + 8y = 10 + -8y + 8y Combine like terms: 15y + 8y = 23y 18 + 23y = 10 + -8y + 8y Combine like terms: -8y + 8y = 0 18 + 23y = 10 + 0 18 + 23y = 10 Add '-18' to each side of the equation. 18 + -18 + 23y = 10 + -18 Combine like terms: 18 + -18 = 0 0 + 23y = 10 + -18 23y = 10 + -18 Combine like terms: 10 + -18 = -8 23y = -8 Divide each side by '23'. y = -0.347826087 Simplifying y = -0.347826087
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