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Simplifying -5(-3y + 7) + -6y = 5(y + -6) + -8 Reorder the terms: -5(7 + -3y) + -6y = 5(y + -6) + -8 (7 * -5 + -3y * -5) + -6y = 5(y + -6) + -8 (-35 + 15y) + -6y = 5(y + -6) + -8 Combine like terms: 15y + -6y = 9y -35 + 9y = 5(y + -6) + -8 Reorder the terms: -35 + 9y = 5(-6 + y) + -8 -35 + 9y = (-6 * 5 + y * 5) + -8 -35 + 9y = (-30 + 5y) + -8 Reorder the terms: -35 + 9y = -30 + -8 + 5y Combine like terms: -30 + -8 = -38 -35 + 9y = -38 + 5y Solving -35 + 9y = -38 + 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 + 9y + -5y = -38 + 5y + -5y Combine like terms: 9y + -5y = 4y -35 + 4y = -38 + 5y + -5y Combine like terms: 5y + -5y = 0 -35 + 4y = -38 + 0 -35 + 4y = -38 Add '35' to each side of the equation. -35 + 35 + 4y = -38 + 35 Combine like terms: -35 + 35 = 0 0 + 4y = -38 + 35 4y = -38 + 35 Combine like terms: -38 + 35 = -3 4y = -3 Divide each side by '4'. y = -0.75 Simplifying y = -0.75
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