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Simplifying -7y + 49 = 7(y + -9) Reorder the terms: 49 + -7y = 7(y + -9) Reorder the terms: 49 + -7y = 7(-9 + y) 49 + -7y = (-9 * 7 + y * 7) 49 + -7y = (-63 + 7y) Solving 49 + -7y = -63 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 49 + -7y + -7y = -63 + 7y + -7y Combine like terms: -7y + -7y = -14y 49 + -14y = -63 + 7y + -7y Combine like terms: 7y + -7y = 0 49 + -14y = -63 + 0 49 + -14y = -63 Add '-49' to each side of the equation. 49 + -49 + -14y = -63 + -49 Combine like terms: 49 + -49 = 0 0 + -14y = -63 + -49 -14y = -63 + -49 Combine like terms: -63 + -49 = -112 -14y = -112 Divide each side by '-14'. y = 8 Simplifying y = 8
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