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Simplifying -4y + -23 = 7(y + -8) Reorder the terms: -23 + -4y = 7(y + -8) Reorder the terms: -23 + -4y = 7(-8 + y) -23 + -4y = (-8 * 7 + y * 7) -23 + -4y = (-56 + 7y) Solving -23 + -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. -23 + -4y + -7y = -56 + 7y + -7y Combine like terms: -4y + -7y = -11y -23 + -11y = -56 + 7y + -7y Combine like terms: 7y + -7y = 0 -23 + -11y = -56 + 0 -23 + -11y = -56 Add '23' to each side of the equation. -23 + 23 + -11y = -56 + 23 Combine like terms: -23 + 23 = 0 0 + -11y = -56 + 23 -11y = -56 + 23 Combine like terms: -56 + 23 = -33 -11y = -33 Divide each side by '-11'. y = 3 Simplifying y = 3
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