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Simplifying 4(2y + 5) = 5 + -3(y + -5) Reorder the terms: 4(5 + 2y) = 5 + -3(y + -5) (5 * 4 + 2y * 4) = 5 + -3(y + -5) (20 + 8y) = 5 + -3(y + -5) Reorder the terms: 20 + 8y = 5 + -3(-5 + y) 20 + 8y = 5 + (-5 * -3 + y * -3) 20 + 8y = 5 + (15 + -3y) Combine like terms: 5 + 15 = 20 20 + 8y = 20 + -3y Add '-20' to each side of the equation. 20 + -20 + 8y = 20 + -20 + -3y Combine like terms: 20 + -20 = 0 0 + 8y = 20 + -20 + -3y 8y = 20 + -20 + -3y Combine like terms: 20 + -20 = 0 8y = 0 + -3y 8y = -3y Solving 8y = -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 8y + 3y = -3y + 3y Combine like terms: 8y + 3y = 11y 11y = -3y + 3y Combine like terms: -3y + 3y = 0 11y = 0 Divide each side by '11'. y = 0 Simplifying y = 0
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