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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 = -9y 14 + -9y = -49 + 2y + -2y Combine like terms: 2y + -2y = 0 14 + -9y = -49 + 0 14 + -9y = -49 Add '-14' to each side of the equation. 14 + -14 + -9y = -49 + -14 Combine like terms: 14 + -14 = 0 0 + -9y = -49 + -14 -9y = -49 + -14 Combine like terms: -49 + -14 = -63 -9y = -63 Divide each side by '-9'. y = 7 Simplifying y = 7
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