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Simplifying -5y + 23 = -8(y + -4) Reorder the terms: 23 + -5y = -8(y + -4) Reorder the terms: 23 + -5y = -8(-4 + y) 23 + -5y = (-4 * -8 + y * -8) 23 + -5y = (32 + -8y) Solving 23 + -5y = 32 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 23 + -5y + 8y = 32 + -8y + 8y Combine like terms: -5y + 8y = 3y 23 + 3y = 32 + -8y + 8y Combine like terms: -8y + 8y = 0 23 + 3y = 32 + 0 23 + 3y = 32 Add '-23' to each side of the equation. 23 + -23 + 3y = 32 + -23 Combine like terms: 23 + -23 = 0 0 + 3y = 32 + -23 3y = 32 + -23 Combine like terms: 32 + -23 = 9 3y = 9 Divide each side by '3'. y = 3 Simplifying y = 3
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