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Simplifying 4(9y + -5) = 10(3x + 17) + -40 Reorder the terms: 4(-5 + 9y) = 10(3x + 17) + -40 (-5 * 4 + 9y * 4) = 10(3x + 17) + -40 (-20 + 36y) = 10(3x + 17) + -40 Reorder the terms: -20 + 36y = 10(17 + 3x) + -40 -20 + 36y = (17 * 10 + 3x * 10) + -40 -20 + 36y = (170 + 30x) + -40 Reorder the terms: -20 + 36y = 170 + -40 + 30x Combine like terms: 170 + -40 = 130 -20 + 36y = 130 + 30x Solving -20 + 36y = 130 + 30x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 36y = 130 + 20 + 30x Combine like terms: -20 + 20 = 0 0 + 36y = 130 + 20 + 30x 36y = 130 + 20 + 30x Combine like terms: 130 + 20 = 150 36y = 150 + 30x Divide each side by '36'. y = 4.166666667 + 0.8333333333x Simplifying y = 4.166666667 + 0.8333333333x
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