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Simplifying -5(-4y + 9) + -5y = 3(y + -8) + -6 Reorder the terms: -5(9 + -4y) + -5y = 3(y + -8) + -6 (9 * -5 + -4y * -5) + -5y = 3(y + -8) + -6 (-45 + 20y) + -5y = 3(y + -8) + -6 Combine like terms: 20y + -5y = 15y -45 + 15y = 3(y + -8) + -6 Reorder the terms: -45 + 15y = 3(-8 + y) + -6 -45 + 15y = (-8 * 3 + y * 3) + -6 -45 + 15y = (-24 + 3y) + -6 Reorder the terms: -45 + 15y = -24 + -6 + 3y Combine like terms: -24 + -6 = -30 -45 + 15y = -30 + 3y Solving -45 + 15y = -30 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -45 + 15y + -3y = -30 + 3y + -3y Combine like terms: 15y + -3y = 12y -45 + 12y = -30 + 3y + -3y Combine like terms: 3y + -3y = 0 -45 + 12y = -30 + 0 -45 + 12y = -30 Add '45' to each side of the equation. -45 + 45 + 12y = -30 + 45 Combine like terms: -45 + 45 = 0 0 + 12y = -30 + 45 12y = -30 + 45 Combine like terms: -30 + 45 = 15 12y = 15 Divide each side by '12'. y = 1.25 Simplifying y = 1.25
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