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Simplifying 7(5y + -1) = 28y Reorder the terms: 7(-1 + 5y) = 28y (-1 * 7 + 5y * 7) = 28y (-7 + 35y) = 28y Solving -7 + 35y = 28y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-28y' to each side of the equation. -7 + 35y + -28y = 28y + -28y Combine like terms: 35y + -28y = 7y -7 + 7y = 28y + -28y Combine like terms: 28y + -28y = 0 -7 + 7y = 0 Add '7' to each side of the equation. -7 + 7 + 7y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 7y = 0 + 7 7y = 0 + 7 Combine like terms: 0 + 7 = 7 7y = 7 Divide each side by '7'. y = 1 Simplifying y = 1
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