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