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Simplifying 6 + -1(4y + -7) = 1 + -5y Reorder the terms: 6 + -1(-7 + 4y) = 1 + -5y 6 + (-7 * -1 + 4y * -1) = 1 + -5y 6 + (7 + -4y) = 1 + -5y Combine like terms: 6 + 7 = 13 13 + -4y = 1 + -5y Solving 13 + -4y = 1 + -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. 13 + -4y + 5y = 1 + -5y + 5y Combine like terms: -4y + 5y = 1y 13 + 1y = 1 + -5y + 5y Combine like terms: -5y + 5y = 0 13 + 1y = 1 + 0 13 + 1y = 1 Add '-13' to each side of the equation. 13 + -13 + 1y = 1 + -13 Combine like terms: 13 + -13 = 0 0 + 1y = 1 + -13 1y = 1 + -13 Combine like terms: 1 + -13 = -12 1y = -12 Divide each side by '1'. y = -12 Simplifying y = -12
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