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Simplifying -23 = 5(y + -4) + -8y Reorder the terms: -23 = 5(-4 + y) + -8y -23 = (-4 * 5 + y * 5) + -8y -23 = (-20 + 5y) + -8y Combine like terms: 5y + -8y = -3y -23 = -20 + -3y Solving -23 = -20 + -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 + 3y = -20 + -3y + 3y Combine like terms: -3y + 3y = 0 -23 + 3y = -20 + 0 -23 + 3y = -20 Add '23' to each side of the equation. -23 + 23 + 3y = -20 + 23 Combine like terms: -23 + 23 = 0 0 + 3y = -20 + 23 3y = -20 + 23 Combine like terms: -20 + 23 = 3 3y = 3 Divide each side by '3'. y = 1 Simplifying y = 1
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