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Simplifying 6(9y + -6) = (6y + 7) Reorder the terms: 6(-6 + 9y) = (6y + 7) (-6 * 6 + 9y * 6) = (6y + 7) (-36 + 54y) = (6y + 7) Reorder the terms: -36 + 54y = (7 + 6y) Remove parenthesis around (7 + 6y) -36 + 54y = 7 + 6y Solving -36 + 54y = 7 + 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. -36 + 54y + -6y = 7 + 6y + -6y Combine like terms: 54y + -6y = 48y -36 + 48y = 7 + 6y + -6y Combine like terms: 6y + -6y = 0 -36 + 48y = 7 + 0 -36 + 48y = 7 Add '36' to each side of the equation. -36 + 36 + 48y = 7 + 36 Combine like terms: -36 + 36 = 0 0 + 48y = 7 + 36 48y = 7 + 36 Combine like terms: 7 + 36 = 43 48y = 43 Divide each side by '48'. y = 0.8958333333 Simplifying y = 0.8958333333
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