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Simplifying -8 = 5(y + -7) + -2y Reorder the terms: -8 = 5(-7 + y) + -2y -8 = (-7 * 5 + y * 5) + -2y -8 = (-35 + 5y) + -2y Combine like terms: 5y + -2y = 3y -8 = -35 + 3y Solving -8 = -35 + 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. -8 + -3y = -35 + 3y + -3y Combine like terms: 3y + -3y = 0 -8 + -3y = -35 + 0 -8 + -3y = -35 Add '8' to each side of the equation. -8 + 8 + -3y = -35 + 8 Combine like terms: -8 + 8 = 0 0 + -3y = -35 + 8 -3y = -35 + 8 Combine like terms: -35 + 8 = -27 -3y = -27 Divide each side by '-3'. y = 9 Simplifying y = 9
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