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Simplifying -9(y + -6) = 4y + 41 Reorder the terms: -9(-6 + y) = 4y + 41 (-6 * -9 + y * -9) = 4y + 41 (54 + -9y) = 4y + 41 Reorder the terms: 54 + -9y = 41 + 4y Solving 54 + -9y = 41 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 54 + -9y + -4y = 41 + 4y + -4y Combine like terms: -9y + -4y = -13y 54 + -13y = 41 + 4y + -4y Combine like terms: 4y + -4y = 0 54 + -13y = 41 + 0 54 + -13y = 41 Add '-54' to each side of the equation. 54 + -54 + -13y = 41 + -54 Combine like terms: 54 + -54 = 0 0 + -13y = 41 + -54 -13y = 41 + -54 Combine like terms: 41 + -54 = -13 -13y = -13 Divide each side by '-13'. y = 1 Simplifying y = 1
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