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Simplifying 7(y + -1) = 5 + -2y Reorder the terms: 7(-1 + y) = 5 + -2y (-1 * 7 + y * 7) = 5 + -2y (-7 + 7y) = 5 + -2y Solving -7 + 7y = 5 + -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 = 5 + -2y + 2y Combine like terms: 7y + 2y = 9y -7 + 9y = 5 + -2y + 2y Combine like terms: -2y + 2y = 0 -7 + 9y = 5 + 0 -7 + 9y = 5 Add '7' to each side of the equation. -7 + 7 + 9y = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 9y = 5 + 7 9y = 5 + 7 Combine like terms: 5 + 7 = 12 9y = 12 Divide each side by '9'. y = 1.333333333 Simplifying y = 1.333333333
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