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Simplifying -3y + 9 = -7(y + -7) Reorder the terms: 9 + -3y = -7(y + -7) Reorder the terms: 9 + -3y = -7(-7 + y) 9 + -3y = (-7 * -7 + y * -7) 9 + -3y = (49 + -7y) Solving 9 + -3y = 49 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 9 + -3y + 7y = 49 + -7y + 7y Combine like terms: -3y + 7y = 4y 9 + 4y = 49 + -7y + 7y Combine like terms: -7y + 7y = 0 9 + 4y = 49 + 0 9 + 4y = 49 Add '-9' to each side of the equation. 9 + -9 + 4y = 49 + -9 Combine like terms: 9 + -9 = 0 0 + 4y = 49 + -9 4y = 49 + -9 Combine like terms: 49 + -9 = 40 4y = 40 Divide each side by '4'. y = 10 Simplifying y = 10
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