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Simplifying 4(2y + -5) = 3(y + 10) + -15 Reorder the terms: 4(-5 + 2y) = 3(y + 10) + -15 (-5 * 4 + 2y * 4) = 3(y + 10) + -15 (-20 + 8y) = 3(y + 10) + -15 Reorder the terms: -20 + 8y = 3(10 + y) + -15 -20 + 8y = (10 * 3 + y * 3) + -15 -20 + 8y = (30 + 3y) + -15 Reorder the terms: -20 + 8y = 30 + -15 + 3y Combine like terms: 30 + -15 = 15 -20 + 8y = 15 + 3y Solving -20 + 8y = 15 + 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. -20 + 8y + -3y = 15 + 3y + -3y Combine like terms: 8y + -3y = 5y -20 + 5y = 15 + 3y + -3y Combine like terms: 3y + -3y = 0 -20 + 5y = 15 + 0 -20 + 5y = 15 Add '20' to each side of the equation. -20 + 20 + 5y = 15 + 20 Combine like terms: -20 + 20 = 0 0 + 5y = 15 + 20 5y = 15 + 20 Combine like terms: 15 + 20 = 35 5y = 35 Divide each side by '5'. y = 7 Simplifying y = 7
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