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Simplifying 7 + -1(4y + -2) = 2 + -5y Reorder the terms: 7 + -1(-2 + 4y) = 2 + -5y 7 + (-2 * -1 + 4y * -1) = 2 + -5y 7 + (2 + -4y) = 2 + -5y Combine like terms: 7 + 2 = 9 9 + -4y = 2 + -5y Solving 9 + -4y = 2 + -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. 9 + -4y + 5y = 2 + -5y + 5y Combine like terms: -4y + 5y = 1y 9 + 1y = 2 + -5y + 5y Combine like terms: -5y + 5y = 0 9 + 1y = 2 + 0 9 + 1y = 2 Add '-9' to each side of the equation. 9 + -9 + 1y = 2 + -9 Combine like terms: 9 + -9 = 0 0 + 1y = 2 + -9 1y = 2 + -9 Combine like terms: 2 + -9 = -7 1y = -7 Divide each side by '1'. y = -7 Simplifying y = -7
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