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Simplifying 7 + -1(4y + -5) = 4 + -5y Reorder the terms: 7 + -1(-5 + 4y) = 4 + -5y 7 + (-5 * -1 + 4y * -1) = 4 + -5y 7 + (5 + -4y) = 4 + -5y Combine like terms: 7 + 5 = 12 12 + -4y = 4 + -5y Solving 12 + -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. 12 + -4y + 5y = 4 + -5y + 5y Combine like terms: -4y + 5y = 1y 12 + 1y = 4 + -5y + 5y Combine like terms: -5y + 5y = 0 12 + 1y = 4 + 0 12 + 1y = 4 Add '-12' to each side of the equation. 12 + -12 + 1y = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 1y = 4 + -12 1y = 4 + -12 Combine like terms: 4 + -12 = -8 1y = -8 Divide each side by '1'. y = -8 Simplifying y = -8
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