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Simplifying -3y + 7 = -9y + 49 Reorder the terms: 7 + -3y = -9y + 49 Reorder the terms: 7 + -3y = 49 + -9y Solving 7 + -3y = 49 + -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. 7 + -3y + 9y = 49 + -9y + 9y Combine like terms: -3y + 9y = 6y 7 + 6y = 49 + -9y + 9y Combine like terms: -9y + 9y = 0 7 + 6y = 49 + 0 7 + 6y = 49 Add '-7' to each side of the equation. 7 + -7 + 6y = 49 + -7 Combine like terms: 7 + -7 = 0 0 + 6y = 49 + -7 6y = 49 + -7 Combine like terms: 49 + -7 = 42 6y = 42 Divide each side by '6'. y = 7 Simplifying y = 7
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