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Simplifying -4y + -9(9y + 6) = -1 + -5(7 + -1y) Reorder the terms: -4y + -9(6 + 9y) = -1 + -5(7 + -1y) -4y + (6 * -9 + 9y * -9) = -1 + -5(7 + -1y) -4y + (-54 + -81y) = -1 + -5(7 + -1y) Reorder the terms: -54 + -4y + -81y = -1 + -5(7 + -1y) Combine like terms: -4y + -81y = -85y -54 + -85y = -1 + -5(7 + -1y) -54 + -85y = -1 + (7 * -5 + -1y * -5) -54 + -85y = -1 + (-35 + 5y) Combine like terms: -1 + -35 = -36 -54 + -85y = -36 + 5y Solving -54 + -85y = -36 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -54 + -85y + -5y = -36 + 5y + -5y Combine like terms: -85y + -5y = -90y -54 + -90y = -36 + 5y + -5y Combine like terms: 5y + -5y = 0 -54 + -90y = -36 + 0 -54 + -90y = -36 Add '54' to each side of the equation. -54 + 54 + -90y = -36 + 54 Combine like terms: -54 + 54 = 0 0 + -90y = -36 + 54 -90y = -36 + 54 Combine like terms: -36 + 54 = 18 -90y = 18 Divide each side by '-90'. y = -0.2 Simplifying y = -0.2
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