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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 = 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 = 8 7y = 8 Divide each side by '7'. y = 1.142857143 Simplifying y = 1.142857143
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