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Simplifying -8y + 23 = 3(y + -7) Reorder the terms: 23 + -8y = 3(y + -7) Reorder the terms: 23 + -8y = 3(-7 + y) 23 + -8y = (-7 * 3 + y * 3) 23 + -8y = (-21 + 3y) Solving 23 + -8y = -21 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 23 + -8y + -3y = -21 + 3y + -3y Combine like terms: -8y + -3y = -11y 23 + -11y = -21 + 3y + -3y Combine like terms: 3y + -3y = 0 23 + -11y = -21 + 0 23 + -11y = -21 Add '-23' to each side of the equation. 23 + -23 + -11y = -21 + -23 Combine like terms: 23 + -23 = 0 0 + -11y = -21 + -23 -11y = -21 + -23 Combine like terms: -21 + -23 = -44 -11y = -44 Divide each side by '-11'. y = 4 Simplifying y = 4
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