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Simplifying 4(2y + -5) = 3(5y + 8) Reorder the terms: 4(-5 + 2y) = 3(5y + 8) (-5 * 4 + 2y * 4) = 3(5y + 8) (-20 + 8y) = 3(5y + 8) Reorder the terms: -20 + 8y = 3(8 + 5y) -20 + 8y = (8 * 3 + 5y * 3) -20 + 8y = (24 + 15y) Solving -20 + 8y = 24 + 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 = 24 + 15y + -15y Combine like terms: 8y + -15y = -7y -20 + -7y = 24 + 15y + -15y Combine like terms: 15y + -15y = 0 -20 + -7y = 24 + 0 -20 + -7y = 24 Add '20' to each side of the equation. -20 + 20 + -7y = 24 + 20 Combine like terms: -20 + 20 = 0 0 + -7y = 24 + 20 -7y = 24 + 20 Combine like terms: 24 + 20 = 44 -7y = 44 Divide each side by '-7'. y = -6.285714286 Simplifying y = -6.285714286
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