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Simplifying -1(5y + -2) = -1(-4y + -7) + 4 Reorder the terms: -1(-2 + 5y) = -1(-4y + -7) + 4 (-2 * -1 + 5y * -1) = -1(-4y + -7) + 4 (2 + -5y) = -1(-4y + -7) + 4 Reorder the terms: 2 + -5y = -1(-7 + -4y) + 4 2 + -5y = (-7 * -1 + -4y * -1) + 4 2 + -5y = (7 + 4y) + 4 Reorder the terms: 2 + -5y = 7 + 4 + 4y Combine like terms: 7 + 4 = 11 2 + -5y = 11 + 4y Solving 2 + -5y = 11 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 2 + -5y + -4y = 11 + 4y + -4y Combine like terms: -5y + -4y = -9y 2 + -9y = 11 + 4y + -4y Combine like terms: 4y + -4y = 0 2 + -9y = 11 + 0 2 + -9y = 11 Add '-2' to each side of the equation. 2 + -2 + -9y = 11 + -2 Combine like terms: 2 + -2 = 0 0 + -9y = 11 + -2 -9y = 11 + -2 Combine like terms: 11 + -2 = 9 -9y = 9 Divide each side by '-9'. y = -1 Simplifying y = -1
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