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Simplifying -6 + 9 = -6y + 7(y + -7) Combine like terms: -6 + 9 = 3 3 = -6y + 7(y + -7) Reorder the terms: 3 = -6y + 7(-7 + y) 3 = -6y + (-7 * 7 + y * 7) 3 = -6y + (-49 + 7y) Reorder the terms: 3 = -49 + -6y + 7y Combine like terms: -6y + 7y = 1y 3 = -49 + 1y Solving 3 = -49 + 1y 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. 3 + -1y = -49 + 1y + -1y Combine like terms: 1y + -1y = 0 3 + -1y = -49 + 0 3 + -1y = -49 Add '-3' to each side of the equation. 3 + -3 + -1y = -49 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = -49 + -3 -1y = -49 + -3 Combine like terms: -49 + -3 = -52 -1y = -52 Divide each side by '-1'. y = 52 Simplifying y = 52
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