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Simplifying 4(8y + -5) + 3(5y + 35) = 25(3y + 5) + -138y Reorder the terms: 4(-5 + 8y) + 3(5y + 35) = 25(3y + 5) + -138y (-5 * 4 + 8y * 4) + 3(5y + 35) = 25(3y + 5) + -138y (-20 + 32y) + 3(5y + 35) = 25(3y + 5) + -138y Reorder the terms: -20 + 32y + 3(35 + 5y) = 25(3y + 5) + -138y -20 + 32y + (35 * 3 + 5y * 3) = 25(3y + 5) + -138y -20 + 32y + (105 + 15y) = 25(3y + 5) + -138y Reorder the terms: -20 + 105 + 32y + 15y = 25(3y + 5) + -138y Combine like terms: -20 + 105 = 85 85 + 32y + 15y = 25(3y + 5) + -138y Combine like terms: 32y + 15y = 47y 85 + 47y = 25(3y + 5) + -138y Reorder the terms: 85 + 47y = 25(5 + 3y) + -138y 85 + 47y = (5 * 25 + 3y * 25) + -138y 85 + 47y = (125 + 75y) + -138y Combine like terms: 75y + -138y = -63y 85 + 47y = 125 + -63y Solving 85 + 47y = 125 + -63y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '63y' to each side of the equation. 85 + 47y + 63y = 125 + -63y + 63y Combine like terms: 47y + 63y = 110y 85 + 110y = 125 + -63y + 63y Combine like terms: -63y + 63y = 0 85 + 110y = 125 + 0 85 + 110y = 125 Add '-85' to each side of the equation. 85 + -85 + 110y = 125 + -85 Combine like terms: 85 + -85 = 0 0 + 110y = 125 + -85 110y = 125 + -85 Combine like terms: 125 + -85 = 40 110y = 40 Divide each side by '110'. y = 0.3636363636 Simplifying y = 0.3636363636
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