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Simplifying 7 + -1(4y + -1) = 8 + -5y Reorder the terms: 7 + -1(-1 + 4y) = 8 + -5y 7 + (-1 * -1 + 4y * -1) = 8 + -5y 7 + (1 + -4y) = 8 + -5y Combine like terms: 7 + 1 = 8 8 + -4y = 8 + -5y Add '-8' to each side of the equation. 8 + -8 + -4y = 8 + -8 + -5y Combine like terms: 8 + -8 = 0 0 + -4y = 8 + -8 + -5y -4y = 8 + -8 + -5y Combine like terms: 8 + -8 = 0 -4y = 0 + -5y -4y = -5y Solving -4y = -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. -4y + 5y = -5y + 5y Combine like terms: -4y + 5y = 1y 1y = -5y + 5y Combine like terms: -5y + 5y = 0 1y = 0 Divide each side by '1'. y = 0 Simplifying y = 0
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