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Simplifying 3(5y + 6) = 2(4y + -5) Reorder the terms: 3(6 + 5y) = 2(4y + -5) (6 * 3 + 5y * 3) = 2(4y + -5) (18 + 15y) = 2(4y + -5) Reorder the terms: 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 = 7y 18 + 7y = -10 + 8y + -8y Combine like terms: 8y + -8y = 0 18 + 7y = -10 + 0 18 + 7y = -10 Add '-18' to each side of the equation. 18 + -18 + 7y = -10 + -18 Combine like terms: 18 + -18 = 0 0 + 7y = -10 + -18 7y = -10 + -18 Combine like terms: -10 + -18 = -28 7y = -28 Divide each side by '7'. y = -4 Simplifying y = -4
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