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Simplifying -9(y + -6) = -7y + 38 Reorder the terms: -9(-6 + y) = -7y + 38 (-6 * -9 + y * -9) = -7y + 38 (54 + -9y) = -7y + 38 Reorder the terms: 54 + -9y = 38 + -7y Solving 54 + -9y = 38 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 54 + -9y + 7y = 38 + -7y + 7y Combine like terms: -9y + 7y = -2y 54 + -2y = 38 + -7y + 7y Combine like terms: -7y + 7y = 0 54 + -2y = 38 + 0 54 + -2y = 38 Add '-54' to each side of the equation. 54 + -54 + -2y = 38 + -54 Combine like terms: 54 + -54 = 0 0 + -2y = 38 + -54 -2y = 38 + -54 Combine like terms: 38 + -54 = -16 -2y = -16 Divide each side by '-2'. y = 8 Simplifying y = 8
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