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Simplifying 7(y + -2) = 2y + -49 Reorder the terms: 7(-2 + y) = 2y + -49 (-2 * 7 + y * 7) = 2y + -49 (-14 + 7y) = 2y + -49 Reorder the terms: -14 + 7y = -49 + 2y Solving -14 + 7y = -49 + 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 = -49 + 2y + -2y Combine like terms: 7y + -2y = 5y -14 + 5y = -49 + 2y + -2y Combine like terms: 2y + -2y = 0 -14 + 5y = -49 + 0 -14 + 5y = -49 Add '14' to each side of the equation. -14 + 14 + 5y = -49 + 14 Combine like terms: -14 + 14 = 0 0 + 5y = -49 + 14 5y = -49 + 14 Combine like terms: -49 + 14 = -35 5y = -35 Divide each side by '5'. y = -7 Simplifying y = -7
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