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Simplifying 4(3y + -5) = 5(7y + 1) Reorder the terms: 4(-5 + 3y) = 5(7y + 1) (-5 * 4 + 3y * 4) = 5(7y + 1) (-20 + 12y) = 5(7y + 1) Reorder the terms: -20 + 12y = 5(1 + 7y) -20 + 12y = (1 * 5 + 7y * 5) -20 + 12y = (5 + 35y) Solving -20 + 12y = 5 + 35y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-35y' to each side of the equation. -20 + 12y + -35y = 5 + 35y + -35y Combine like terms: 12y + -35y = -23y -20 + -23y = 5 + 35y + -35y Combine like terms: 35y + -35y = 0 -20 + -23y = 5 + 0 -20 + -23y = 5 Add '20' to each side of the equation. -20 + 20 + -23y = 5 + 20 Combine like terms: -20 + 20 = 0 0 + -23y = 5 + 20 -23y = 5 + 20 Combine like terms: 5 + 20 = 25 -23y = 25 Divide each side by '-23'. y = -1.086956522 Simplifying y = -1.086956522
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