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Simplifying -3y + -9(9y + 7) = 5 + 6(5 + -1y) Reorder the terms: -3y + -9(7 + 9y) = 5 + 6(5 + -1y) -3y + (7 * -9 + 9y * -9) = 5 + 6(5 + -1y) -3y + (-63 + -81y) = 5 + 6(5 + -1y) Reorder the terms: -63 + -3y + -81y = 5 + 6(5 + -1y) Combine like terms: -3y + -81y = -84y -63 + -84y = 5 + 6(5 + -1y) -63 + -84y = 5 + (5 * 6 + -1y * 6) -63 + -84y = 5 + (30 + -6y) Combine like terms: 5 + 30 = 35 -63 + -84y = 35 + -6y Solving -63 + -84y = 35 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -63 + -84y + 6y = 35 + -6y + 6y Combine like terms: -84y + 6y = -78y -63 + -78y = 35 + -6y + 6y Combine like terms: -6y + 6y = 0 -63 + -78y = 35 + 0 -63 + -78y = 35 Add '63' to each side of the equation. -63 + 63 + -78y = 35 + 63 Combine like terms: -63 + 63 = 0 0 + -78y = 35 + 63 -78y = 35 + 63 Combine like terms: 35 + 63 = 98 -78y = 98 Divide each side by '-78'. y = -1.256410256 Simplifying y = -1.256410256
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