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Simplifying -9y + 117 = 3(y + 7) Reorder the terms: 117 + -9y = 3(y + 7) Reorder the terms: 117 + -9y = 3(7 + y) 117 + -9y = (7 * 3 + y * 3) 117 + -9y = (21 + 3y) Solving 117 + -9y = 21 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 117 + -9y + -3y = 21 + 3y + -3y Combine like terms: -9y + -3y = -12y 117 + -12y = 21 + 3y + -3y Combine like terms: 3y + -3y = 0 117 + -12y = 21 + 0 117 + -12y = 21 Add '-117' to each side of the equation. 117 + -117 + -12y = 21 + -117 Combine like terms: 117 + -117 = 0 0 + -12y = 21 + -117 -12y = 21 + -117 Combine like terms: 21 + -117 = -96 -12y = -96 Divide each side by '-12'. y = 8 Simplifying y = 8
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