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Simplifying 7(y + -6) = 9y + -42 Reorder the terms: 7(-6 + y) = 9y + -42 (-6 * 7 + y * 7) = 9y + -42 (-42 + 7y) = 9y + -42 Reorder the terms: -42 + 7y = -42 + 9y Add '42' to each side of the equation. -42 + 42 + 7y = -42 + 42 + 9y Combine like terms: -42 + 42 = 0 0 + 7y = -42 + 42 + 9y 7y = -42 + 42 + 9y Combine like terms: -42 + 42 = 0 7y = 0 + 9y 7y = 9y Solving 7y = 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 7y + -9y = 9y + -9y Combine like terms: 7y + -9y = -2y -2y = 9y + -9y Combine like terms: 9y + -9y = 0 -2y = 0 Divide each side by '-2'. y = 0 Simplifying y = 0
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