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Simplifying 5(y + -7) = 4y Reorder the terms: 5(-7 + y) = 4y (-7 * 5 + y * 5) = 4y (-35 + 5y) = 4y Solving -35 + 5y = 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 = 4y + -4y Combine like terms: 5y + -4y = 1y -35 + 1y = 4y + -4y Combine like terms: 4y + -4y = 0 -35 + 1y = 0 Add '35' to each side of the equation. -35 + 35 + 1y = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 1y = 0 + 35 1y = 0 + 35 Combine like terms: 0 + 35 = 35 1y = 35 Divide each side by '1'. y = 35 Simplifying y = 35
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