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Simplifying 7y + -11 = -2y + 52 Reorder the terms: -11 + 7y = -2y + 52 Reorder the terms: -11 + 7y = 52 + -2y Solving -11 + 7y = 52 + -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. -11 + 7y + 2y = 52 + -2y + 2y Combine like terms: 7y + 2y = 9y -11 + 9y = 52 + -2y + 2y Combine like terms: -2y + 2y = 0 -11 + 9y = 52 + 0 -11 + 9y = 52 Add '11' to each side of the equation. -11 + 11 + 9y = 52 + 11 Combine like terms: -11 + 11 = 0 0 + 9y = 52 + 11 9y = 52 + 11 Combine like terms: 52 + 11 = 63 9y = 63 Divide each side by '9'. y = 7 Simplifying y = 7
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