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Simplifying -4y + 21 = 7(y + -8) Reorder the terms: 21 + -4y = 7(y + -8) Reorder the terms: 21 + -4y = 7(-8 + y) 21 + -4y = (-8 * 7 + y * 7) 21 + -4y = (-56 + 7y) Solving 21 + -4y = -56 + 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. 21 + -4y + -7y = -56 + 7y + -7y Combine like terms: -4y + -7y = -11y 21 + -11y = -56 + 7y + -7y Combine like terms: 7y + -7y = 0 21 + -11y = -56 + 0 21 + -11y = -56 Add '-21' to each side of the equation. 21 + -21 + -11y = -56 + -21 Combine like terms: 21 + -21 = 0 0 + -11y = -56 + -21 -11y = -56 + -21 Combine like terms: -56 + -21 = -77 -11y = -77 Divide each side by '-11'. y = 7 Simplifying y = 7
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