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Simplifying -6y + 9 = y + -40 Reorder the terms: 9 + -6y = y + -40 Reorder the terms: 9 + -6y = -40 + y Solving 9 + -6y = -40 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 9 + -6y + -1y = -40 + y + -1y Combine like terms: -6y + -1y = -7y 9 + -7y = -40 + y + -1y Combine like terms: y + -1y = 0 9 + -7y = -40 + 0 9 + -7y = -40 Add '-9' to each side of the equation. 9 + -9 + -7y = -40 + -9 Combine like terms: 9 + -9 = 0 0 + -7y = -40 + -9 -7y = -40 + -9 Combine like terms: -40 + -9 = -49 -7y = -49 Divide each side by '-7'. y = 7 Simplifying y = 7
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