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Simplifying 4(2y + 5) = 3(5y + -2) Reorder the terms: 4(5 + 2y) = 3(5y + -2) (5 * 4 + 2y * 4) = 3(5y + -2) (20 + 8y) = 3(5y + -2) Reorder the terms: 20 + 8y = 3(-2 + 5y) 20 + 8y = (-2 * 3 + 5y * 3) 20 + 8y = (-6 + 15y) Solving 20 + 8y = -6 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 20 + 8y + -15y = -6 + 15y + -15y Combine like terms: 8y + -15y = -7y 20 + -7y = -6 + 15y + -15y Combine like terms: 15y + -15y = 0 20 + -7y = -6 + 0 20 + -7y = -6 Add '-20' to each side of the equation. 20 + -20 + -7y = -6 + -20 Combine like terms: 20 + -20 = 0 0 + -7y = -6 + -20 -7y = -6 + -20 Combine like terms: -6 + -20 = -26 -7y = -26 Divide each side by '-7'. y = 3.714285714 Simplifying y = 3.714285714
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