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Simplifying -5y + 16 = -8(y + -5) Reorder the terms: 16 + -5y = -8(y + -5) Reorder the terms: 16 + -5y = -8(-5 + y) 16 + -5y = (-5 * -8 + y * -8) 16 + -5y = (40 + -8y) Solving 16 + -5y = 40 + -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. 16 + -5y + 8y = 40 + -8y + 8y Combine like terms: -5y + 8y = 3y 16 + 3y = 40 + -8y + 8y Combine like terms: -8y + 8y = 0 16 + 3y = 40 + 0 16 + 3y = 40 Add '-16' to each side of the equation. 16 + -16 + 3y = 40 + -16 Combine like terms: 16 + -16 = 0 0 + 3y = 40 + -16 3y = 40 + -16 Combine like terms: 40 + -16 = 24 3y = 24 Divide each side by '3'. y = 8 Simplifying y = 8
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