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Simplifying 9(48 + -7y) = 40 + -14y (48 * 9 + -7y * 9) = 40 + -14y (432 + -63y) = 40 + -14y Solving 432 + -63y = 40 + -14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14y' to each side of the equation. 432 + -63y + 14y = 40 + -14y + 14y Combine like terms: -63y + 14y = -49y 432 + -49y = 40 + -14y + 14y Combine like terms: -14y + 14y = 0 432 + -49y = 40 + 0 432 + -49y = 40 Add '-432' to each side of the equation. 432 + -432 + -49y = 40 + -432 Combine like terms: 432 + -432 = 0 0 + -49y = 40 + -432 -49y = 40 + -432 Combine like terms: 40 + -432 = -392 -49y = -392 Divide each side by '-49'. y = 8 Simplifying y = 8
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