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Simplifying 7 + -1(4y + -6) = 8 + -5y Reorder the terms: 7 + -1(-6 + 4y) = 8 + -5y 7 + (-6 * -1 + 4y * -1) = 8 + -5y 7 + (6 + -4y) = 8 + -5y Combine like terms: 7 + 6 = 13 13 + -4y = 8 + -5y Solving 13 + -4y = 8 + -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 = 8 + -5y + 5y Combine like terms: -4y + 5y = 1y 13 + 1y = 8 + -5y + 5y Combine like terms: -5y + 5y = 0 13 + 1y = 8 + 0 13 + 1y = 8 Add '-13' to each side of the equation. 13 + -13 + 1y = 8 + -13 Combine like terms: 13 + -13 = 0 0 + 1y = 8 + -13 1y = 8 + -13 Combine like terms: 8 + -13 = -5 1y = -5 Divide each side by '1'. y = -5 Simplifying y = -5
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