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Simplifying 9(y + -6) = -7y + 42 Reorder the terms: 9(-6 + y) = -7y + 42 (-6 * 9 + y * 9) = -7y + 42 (-54 + 9y) = -7y + 42 Reorder the terms: -54 + 9y = 42 + -7y Solving -54 + 9y = 42 + -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 = 42 + -7y + 7y Combine like terms: 9y + 7y = 16y -54 + 16y = 42 + -7y + 7y Combine like terms: -7y + 7y = 0 -54 + 16y = 42 + 0 -54 + 16y = 42 Add '54' to each side of the equation. -54 + 54 + 16y = 42 + 54 Combine like terms: -54 + 54 = 0 0 + 16y = 42 + 54 16y = 42 + 54 Combine like terms: 42 + 54 = 96 16y = 96 Divide each side by '16'. y = 6 Simplifying y = 6
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