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Simplifying 9y + 7 = -2y + 40 Reorder the terms: 7 + 9y = -2y + 40 Reorder the terms: 7 + 9y = 40 + -2y Solving 7 + 9y = 40 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 7 + 9y + 2y = 40 + -2y + 2y Combine like terms: 9y + 2y = 11y 7 + 11y = 40 + -2y + 2y Combine like terms: -2y + 2y = 0 7 + 11y = 40 + 0 7 + 11y = 40 Add '-7' to each side of the equation. 7 + -7 + 11y = 40 + -7 Combine like terms: 7 + -7 = 0 0 + 11y = 40 + -7 11y = 40 + -7 Combine like terms: 40 + -7 = 33 11y = 33 Divide each side by '11'. y = 3 Simplifying y = 3
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