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Simplifying 7(y + -2) = 2y + -29 Reorder the terms: 7(-2 + y) = 2y + -29 (-2 * 7 + y * 7) = 2y + -29 (-14 + 7y) = 2y + -29 Reorder the terms: -14 + 7y = -29 + 2y Solving -14 + 7y = -29 + 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. -14 + 7y + -2y = -29 + 2y + -2y Combine like terms: 7y + -2y = 5y -14 + 5y = -29 + 2y + -2y Combine like terms: 2y + -2y = 0 -14 + 5y = -29 + 0 -14 + 5y = -29 Add '14' to each side of the equation. -14 + 14 + 5y = -29 + 14 Combine like terms: -14 + 14 = 0 0 + 5y = -29 + 14 5y = -29 + 14 Combine like terms: -29 + 14 = -15 5y = -15 Divide each side by '5'. y = -3 Simplifying y = -3
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