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Simplifying 4(9y + -5) = 10(3y + 17) * 40 Reorder the terms: 4(-5 + 9y) = 10(3y + 17) * 40 (-5 * 4 + 9y * 4) = 10(3y + 17) * 40 (-20 + 36y) = 10(3y + 17) * 40 Reorder the terms: -20 + 36y = 10(17 + 3y) * 40 Reorder the terms for easier multiplication: -20 + 36y = 10 * 40(17 + 3y) Multiply 10 * 40 -20 + 36y = 400(17 + 3y) -20 + 36y = (17 * 400 + 3y * 400) -20 + 36y = (6800 + 1200y) Solving -20 + 36y = 6800 + 1200y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1200y' to each side of the equation. -20 + 36y + -1200y = 6800 + 1200y + -1200y Combine like terms: 36y + -1200y = -1164y -20 + -1164y = 6800 + 1200y + -1200y Combine like terms: 1200y + -1200y = 0 -20 + -1164y = 6800 + 0 -20 + -1164y = 6800 Add '20' to each side of the equation. -20 + 20 + -1164y = 6800 + 20 Combine like terms: -20 + 20 = 0 0 + -1164y = 6800 + 20 -1164y = 6800 + 20 Combine like terms: 6800 + 20 = 6820 -1164y = 6820 Divide each side by '-1164'. y = -5.859106529 Simplifying y = -5.859106529
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