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Simplifying -5(y + 7) = 7 + -4y Reorder the terms: -5(7 + y) = 7 + -4y (7 * -5 + y * -5) = 7 + -4y (-35 + -5y) = 7 + -4y Solving -35 + -5y = 7 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -35 + -5y + 4y = 7 + -4y + 4y Combine like terms: -5y + 4y = -1y -35 + -1y = 7 + -4y + 4y Combine like terms: -4y + 4y = 0 -35 + -1y = 7 + 0 -35 + -1y = 7 Add '35' to each side of the equation. -35 + 35 + -1y = 7 + 35 Combine like terms: -35 + 35 = 0 0 + -1y = 7 + 35 -1y = 7 + 35 Combine like terms: 7 + 35 = 42 -1y = 42 Divide each side by '-1'. y = -42 Simplifying y = -42
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