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Simplifying -8 = 7(y + -4) + -2y Reorder the terms: -8 = 7(-4 + y) + -2y -8 = (-4 * 7 + y * 7) + -2y -8 = (-28 + 7y) + -2y Combine like terms: 7y + -2y = 5y -8 = -28 + 5y Solving -8 = -28 + 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. -8 + -5y = -28 + 5y + -5y Combine like terms: 5y + -5y = 0 -8 + -5y = -28 + 0 -8 + -5y = -28 Add '8' to each side of the equation. -8 + 8 + -5y = -28 + 8 Combine like terms: -8 + 8 = 0 0 + -5y = -28 + 8 -5y = -28 + 8 Combine like terms: -28 + 8 = -20 -5y = -20 Divide each side by '-5'. y = 4 Simplifying y = 4
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