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Simplifying -1(5y + 4) + -1(-4y + -5) = -7 Reorder the terms: -1(4 + 5y) + -1(-4y + -5) = -7 (4 * -1 + 5y * -1) + -1(-4y + -5) = -7 (-4 + -5y) + -1(-4y + -5) = -7 Reorder the terms: -4 + -5y + -1(-5 + -4y) = -7 -4 + -5y + (-5 * -1 + -4y * -1) = -7 -4 + -5y + (5 + 4y) = -7 Reorder the terms: -4 + 5 + -5y + 4y = -7 Combine like terms: -4 + 5 = 1 1 + -5y + 4y = -7 Combine like terms: -5y + 4y = -1y 1 + -1y = -7 Solving 1 + -1y = -7 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1y = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = -7 + -1 -1y = -7 + -1 Combine like terms: -7 + -1 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8
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