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