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Simplifying 5(y + -7) = -3y Reorder the terms: 5(-7 + y) = -3y (-7 * 5 + y * 5) = -3y (-35 + 5y) = -3y Solving -35 + 5y = -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. -35 + 5y + 3y = -3y + 3y Combine like terms: 5y + 3y = 8y -35 + 8y = -3y + 3y Combine like terms: -3y + 3y = 0 -35 + 8y = 0 Add '35' to each side of the equation. -35 + 35 + 8y = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 8y = 0 + 35 8y = 0 + 35 Combine like terms: 0 + 35 = 35 8y = 35 Divide each side by '8'. y = 4.375 Simplifying y = 4.375
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