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Simplifying 7(y + -5) = 2y Reorder the terms: 7(-5 + y) = 2y (-5 * 7 + y * 7) = 2y (-35 + 7y) = 2y Solving -35 + 7y = 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -35 + 7y + -2y = 2y + -2y Combine like terms: 7y + -2y = 5y -35 + 5y = 2y + -2y Combine like terms: 2y + -2y = 0 -35 + 5y = 0 Add '35' to each side of the equation. -35 + 35 + 5y = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 5y = 0 + 35 5y = 0 + 35 Combine like terms: 0 + 35 = 35 5y = 35 Divide each side by '5'. y = 7 Simplifying y = 7
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