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Simplifying -8 = -8y + 5(y + -7) Reorder the terms: -8 = -8y + 5(-7 + y) -8 = -8y + (-7 * 5 + y * 5) -8 = -8y + (-35 + 5y) Reorder the terms: -8 = -35 + -8y + 5y Combine like terms: -8y + 5y = -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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