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Simplifying -7(y + -5) = 7y + -21 Reorder the terms: -7(-5 + y) = 7y + -21 (-5 * -7 + y * -7) = 7y + -21 (35 + -7y) = 7y + -21 Reorder the terms: 35 + -7y = -21 + 7y Solving 35 + -7y = -21 + 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. 35 + -7y + -7y = -21 + 7y + -7y Combine like terms: -7y + -7y = -14y 35 + -14y = -21 + 7y + -7y Combine like terms: 7y + -7y = 0 35 + -14y = -21 + 0 35 + -14y = -21 Add '-35' to each side of the equation. 35 + -35 + -14y = -21 + -35 Combine like terms: 35 + -35 = 0 0 + -14y = -21 + -35 -14y = -21 + -35 Combine like terms: -21 + -35 = -56 -14y = -56 Divide each side by '-14'. y = 4 Simplifying y = 4
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