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Simplifying 5(2 + -3y) = 4(3 + -2y) (2 * 5 + -3y * 5) = 4(3 + -2y) (10 + -15y) = 4(3 + -2y) 10 + -15y = (3 * 4 + -2y * 4) 10 + -15y = (12 + -8y) Solving 10 + -15y = 12 + -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. 10 + -15y + 8y = 12 + -8y + 8y Combine like terms: -15y + 8y = -7y 10 + -7y = 12 + -8y + 8y Combine like terms: -8y + 8y = 0 10 + -7y = 12 + 0 10 + -7y = 12 Add '-10' to each side of the equation. 10 + -10 + -7y = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -7y = 12 + -10 -7y = 12 + -10 Combine like terms: 12 + -10 = 2 -7y = 2 Divide each side by '-7'. y = -0.2857142857 Simplifying y = -0.2857142857
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