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Simplifying 6 + -1(4y + -1) = 6 + -5y Reorder the terms: 6 + -1(-1 + 4y) = 6 + -5y 6 + (-1 * -1 + 4y * -1) = 6 + -5y 6 + (1 + -4y) = 6 + -5y Combine like terms: 6 + 1 = 7 7 + -4y = 6 + -5y Solving 7 + -4y = 6 + -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. 7 + -4y + 5y = 6 + -5y + 5y Combine like terms: -4y + 5y = 1y 7 + 1y = 6 + -5y + 5y Combine like terms: -5y + 5y = 0 7 + 1y = 6 + 0 7 + 1y = 6 Add '-7' to each side of the equation. 7 + -7 + 1y = 6 + -7 Combine like terms: 7 + -7 = 0 0 + 1y = 6 + -7 1y = 6 + -7 Combine like terms: 6 + -7 = -1 1y = -1 Divide each side by '1'. y = -1 Simplifying y = -1
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