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Simplifying -7(-3y + 5) + -1y = 5(y + -5) + -1 Reorder the terms: -7(5 + -3y) + -1y = 5(y + -5) + -1 (5 * -7 + -3y * -7) + -1y = 5(y + -5) + -1 (-35 + 21y) + -1y = 5(y + -5) + -1 Combine like terms: 21y + -1y = 20y -35 + 20y = 5(y + -5) + -1 Reorder the terms: -35 + 20y = 5(-5 + y) + -1 -35 + 20y = (-5 * 5 + y * 5) + -1 -35 + 20y = (-25 + 5y) + -1 Reorder the terms: -35 + 20y = -25 + -1 + 5y Combine like terms: -25 + -1 = -26 -35 + 20y = -26 + 5y Solving -35 + 20y = -26 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -35 + 20y + -5y = -26 + 5y + -5y Combine like terms: 20y + -5y = 15y -35 + 15y = -26 + 5y + -5y Combine like terms: 5y + -5y = 0 -35 + 15y = -26 + 0 -35 + 15y = -26 Add '35' to each side of the equation. -35 + 35 + 15y = -26 + 35 Combine like terms: -35 + 35 = 0 0 + 15y = -26 + 35 15y = -26 + 35 Combine like terms: -26 + 35 = 9 15y = 9 Divide each side by '15'. y = 0.6 Simplifying y = 0.6
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