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Simplifying -6y + -4(1y + -7) = -9 + -9(7 + -1y) Reorder the terms: -6y + -4(-7 + 1y) = -9 + -9(7 + -1y) -6y + (-7 * -4 + 1y * -4) = -9 + -9(7 + -1y) -6y + (28 + -4y) = -9 + -9(7 + -1y) Reorder the terms: 28 + -6y + -4y = -9 + -9(7 + -1y) Combine like terms: -6y + -4y = -10y 28 + -10y = -9 + -9(7 + -1y) 28 + -10y = -9 + (7 * -9 + -1y * -9) 28 + -10y = -9 + (-63 + 9y) Combine like terms: -9 + -63 = -72 28 + -10y = -72 + 9y Solving 28 + -10y = -72 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 28 + -10y + -9y = -72 + 9y + -9y Combine like terms: -10y + -9y = -19y 28 + -19y = -72 + 9y + -9y Combine like terms: 9y + -9y = 0 28 + -19y = -72 + 0 28 + -19y = -72 Add '-28' to each side of the equation. 28 + -28 + -19y = -72 + -28 Combine like terms: 28 + -28 = 0 0 + -19y = -72 + -28 -19y = -72 + -28 Combine like terms: -72 + -28 = -100 -19y = -100 Divide each side by '-19'. y = 5.263157895 Simplifying y = 5.263157895
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