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Simplifying 7y + 42 = 9y + -24 + 4y Reorder the terms: 42 + 7y = 9y + -24 + 4y Reorder the terms: 42 + 7y = -24 + 9y + 4y Combine like terms: 9y + 4y = 13y 42 + 7y = -24 + 13y Solving 42 + 7y = -24 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 42 + 7y + -13y = -24 + 13y + -13y Combine like terms: 7y + -13y = -6y 42 + -6y = -24 + 13y + -13y Combine like terms: 13y + -13y = 0 42 + -6y = -24 + 0 42 + -6y = -24 Add '-42' to each side of the equation. 42 + -42 + -6y = -24 + -42 Combine like terms: 42 + -42 = 0 0 + -6y = -24 + -42 -6y = -24 + -42 Combine like terms: -24 + -42 = -66 -6y = -66 Divide each side by '-6'. y = 11 Simplifying y = 11
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