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Simplifying -2y + -9(-6y + 6) = 6 + -6(-6 + -1y) Reorder the terms: -2y + -9(6 + -6y) = 6 + -6(-6 + -1y) -2y + (6 * -9 + -6y * -9) = 6 + -6(-6 + -1y) -2y + (-54 + 54y) = 6 + -6(-6 + -1y) Reorder the terms: -54 + -2y + 54y = 6 + -6(-6 + -1y) Combine like terms: -2y + 54y = 52y -54 + 52y = 6 + -6(-6 + -1y) -54 + 52y = 6 + (-6 * -6 + -1y * -6) -54 + 52y = 6 + (36 + 6y) Combine like terms: 6 + 36 = 42 -54 + 52y = 42 + 6y Solving -54 + 52y = 42 + 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. -54 + 52y + -6y = 42 + 6y + -6y Combine like terms: 52y + -6y = 46y -54 + 46y = 42 + 6y + -6y Combine like terms: 6y + -6y = 0 -54 + 46y = 42 + 0 -54 + 46y = 42 Add '54' to each side of the equation. -54 + 54 + 46y = 42 + 54 Combine like terms: -54 + 54 = 0 0 + 46y = 42 + 54 46y = 42 + 54 Combine like terms: 42 + 54 = 96 46y = 96 Divide each side by '46'. y = 2.086956522 Simplifying y = 2.086956522
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