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Simplifying 7 + -1(2y + -2) = 4 + -3y Reorder the terms: 7 + -1(-2 + 2y) = 4 + -3y 7 + (-2 * -1 + 2y * -1) = 4 + -3y 7 + (2 + -2y) = 4 + -3y Combine like terms: 7 + 2 = 9 9 + -2y = 4 + -3y Solving 9 + -2y = 4 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 9 + -2y + 3y = 4 + -3y + 3y Combine like terms: -2y + 3y = 1y 9 + 1y = 4 + -3y + 3y Combine like terms: -3y + 3y = 0 9 + 1y = 4 + 0 9 + 1y = 4 Add '-9' to each side of the equation. 9 + -9 + 1y = 4 + -9 Combine like terms: 9 + -9 = 0 0 + 1y = 4 + -9 1y = 4 + -9 Combine like terms: 4 + -9 = -5 1y = -5 Divide each side by '1'. y = -5 Simplifying y = -5
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