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Simplifying 7(y + -1) = 2y + -42 Reorder the terms: 7(-1 + y) = 2y + -42 (-1 * 7 + y * 7) = 2y + -42 (-7 + 7y) = 2y + -42 Reorder the terms: -7 + 7y = -42 + 2y Solving -7 + 7y = -42 + 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. -7 + 7y + -2y = -42 + 2y + -2y Combine like terms: 7y + -2y = 5y -7 + 5y = -42 + 2y + -2y Combine like terms: 2y + -2y = 0 -7 + 5y = -42 + 0 -7 + 5y = -42 Add '7' to each side of the equation. -7 + 7 + 5y = -42 + 7 Combine like terms: -7 + 7 = 0 0 + 5y = -42 + 7 5y = -42 + 7 Combine like terms: -42 + 7 = -35 5y = -35 Divide each side by '5'. y = -7 Simplifying y = -7
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