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Simplifying -1(5y + -9) = -4(y + -7) Reorder the terms: -1(-9 + 5y) = -4(y + -7) (-9 * -1 + 5y * -1) = -4(y + -7) (9 + -5y) = -4(y + -7) Reorder the terms: 9 + -5y = -4(-7 + y) 9 + -5y = (-7 * -4 + y * -4) 9 + -5y = (28 + -4y) Solving 9 + -5y = 28 + -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. 9 + -5y + 4y = 28 + -4y + 4y Combine like terms: -5y + 4y = -1y 9 + -1y = 28 + -4y + 4y Combine like terms: -4y + 4y = 0 9 + -1y = 28 + 0 9 + -1y = 28 Add '-9' to each side of the equation. 9 + -9 + -1y = 28 + -9 Combine like terms: 9 + -9 = 0 0 + -1y = 28 + -9 -1y = 28 + -9 Combine like terms: 28 + -9 = 19 -1y = 19 Divide each side by '-1'. y = -19 Simplifying y = -19
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