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Simplifying 8y + 19 = 5(y + -1) Reorder the terms: 19 + 8y = 5(y + -1) Reorder the terms: 19 + 8y = 5(-1 + y) 19 + 8y = (-1 * 5 + y * 5) 19 + 8y = (-5 + 5y) Solving 19 + 8y = -5 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 19 + 8y + -5y = -5 + 5y + -5y Combine like terms: 8y + -5y = 3y 19 + 3y = -5 + 5y + -5y Combine like terms: 5y + -5y = 0 19 + 3y = -5 + 0 19 + 3y = -5 Add '-19' to each side of the equation. 19 + -19 + 3y = -5 + -19 Combine like terms: 19 + -19 = 0 0 + 3y = -5 + -19 3y = -5 + -19 Combine like terms: -5 + -19 = -24 3y = -24 Divide each side by '3'. y = -8 Simplifying y = -8
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