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Simplifying 4(8y + -5) = 10(3y + 17) + -40 Reorder the terms: 4(-5 + 8y) = 10(3y + 17) + -40 (-5 * 4 + 8y * 4) = 10(3y + 17) + -40 (-20 + 32y) = 10(3y + 17) + -40 Reorder the terms: -20 + 32y = 10(17 + 3y) + -40 -20 + 32y = (17 * 10 + 3y * 10) + -40 -20 + 32y = (170 + 30y) + -40 Reorder the terms: -20 + 32y = 170 + -40 + 30y Combine like terms: 170 + -40 = 130 -20 + 32y = 130 + 30y Solving -20 + 32y = 130 + 30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30y' to each side of the equation. -20 + 32y + -30y = 130 + 30y + -30y Combine like terms: 32y + -30y = 2y -20 + 2y = 130 + 30y + -30y Combine like terms: 30y + -30y = 0 -20 + 2y = 130 + 0 -20 + 2y = 130 Add '20' to each side of the equation. -20 + 20 + 2y = 130 + 20 Combine like terms: -20 + 20 = 0 0 + 2y = 130 + 20 2y = 130 + 20 Combine like terms: 130 + 20 = 150 2y = 150 Divide each side by '2'. y = 75 Simplifying y = 75
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