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Simplifying 4(2y + 8) = 5(3y + -2) Reorder the terms: 4(8 + 2y) = 5(3y + -2) (8 * 4 + 2y * 4) = 5(3y + -2) (32 + 8y) = 5(3y + -2) Reorder the terms: 32 + 8y = 5(-2 + 3y) 32 + 8y = (-2 * 5 + 3y * 5) 32 + 8y = (-10 + 15y) Solving 32 + 8y = -10 + 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. 32 + 8y + -15y = -10 + 15y + -15y Combine like terms: 8y + -15y = -7y 32 + -7y = -10 + 15y + -15y Combine like terms: 15y + -15y = 0 32 + -7y = -10 + 0 32 + -7y = -10 Add '-32' to each side of the equation. 32 + -32 + -7y = -10 + -32 Combine like terms: 32 + -32 = 0 0 + -7y = -10 + -32 -7y = -10 + -32 Combine like terms: -10 + -32 = -42 -7y = -42 Divide each side by '-7'. y = 6 Simplifying y = 6
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