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Simplifying 8y + 5(1 + -1y) = 4y + -6 8y + (1 * 5 + -1y * 5) = 4y + -6 8y + (5 + -5y) = 4y + -6 Reorder the terms: 5 + 8y + -5y = 4y + -6 Combine like terms: 8y + -5y = 3y 5 + 3y = 4y + -6 Reorder the terms: 5 + 3y = -6 + 4y Solving 5 + 3y = -6 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 5 + 3y + -4y = -6 + 4y + -4y Combine like terms: 3y + -4y = -1y 5 + -1y = -6 + 4y + -4y Combine like terms: 4y + -4y = 0 5 + -1y = -6 + 0 5 + -1y = -6 Add '-5' to each side of the equation. 5 + -5 + -1y = -6 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = -6 + -5 -1y = -6 + -5 Combine like terms: -6 + -5 = -11 -1y = -11 Divide each side by '-1'. y = 11 Simplifying y = 11
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