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