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Simplifying 7y + 1 = 9y + -13 Reorder the terms: 1 + 7y = 9y + -13 Reorder the terms: 1 + 7y = -13 + 9y Solving 1 + 7y = -13 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 1 + 7y + -9y = -13 + 9y + -9y Combine like terms: 7y + -9y = -2y 1 + -2y = -13 + 9y + -9y Combine like terms: 9y + -9y = 0 1 + -2y = -13 + 0 1 + -2y = -13 Add '-1' to each side of the equation. 1 + -1 + -2y = -13 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = -13 + -1 -2y = -13 + -1 Combine like terms: -13 + -1 = -14 -2y = -14 Divide each side by '-2'. y = 7 Simplifying y = 7
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