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