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Simplifying 4(9y + -5) = 10(3y + 17) + -10 Reorder the terms: 4(-5 + 9y) = 10(3y + 17) + -10 (-5 * 4 + 9y * 4) = 10(3y + 17) + -10 (-20 + 36y) = 10(3y + 17) + -10 Reorder the terms: -20 + 36y = 10(17 + 3y) + -10 -20 + 36y = (17 * 10 + 3y * 10) + -10 -20 + 36y = (170 + 30y) + -10 Reorder the terms: -20 + 36y = 170 + -10 + 30y Combine like terms: 170 + -10 = 160 -20 + 36y = 160 + 30y Solving -20 + 36y = 160 + 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 + 36y + -30y = 160 + 30y + -30y Combine like terms: 36y + -30y = 6y -20 + 6y = 160 + 30y + -30y Combine like terms: 30y + -30y = 0 -20 + 6y = 160 + 0 -20 + 6y = 160 Add '20' to each side of the equation. -20 + 20 + 6y = 160 + 20 Combine like terms: -20 + 20 = 0 0 + 6y = 160 + 20 6y = 160 + 20 Combine like terms: 160 + 20 = 180 6y = 180 Divide each side by '6'. y = 30 Simplifying y = 30
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