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Simplifying 7y + 1 = 2(3y + 6) + 3y Reorder the terms: 1 + 7y = 2(3y + 6) + 3y Reorder the terms: 1 + 7y = 2(6 + 3y) + 3y 1 + 7y = (6 * 2 + 3y * 2) + 3y 1 + 7y = (12 + 6y) + 3y Combine like terms: 6y + 3y = 9y 1 + 7y = 12 + 9y Solving 1 + 7y = 12 + 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 = 12 + 9y + -9y Combine like terms: 7y + -9y = -2y 1 + -2y = 12 + 9y + -9y Combine like terms: 9y + -9y = 0 1 + -2y = 12 + 0 1 + -2y = 12 Add '-1' to each side of the equation. 1 + -1 + -2y = 12 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 12 + -1 -2y = 12 + -1 Combine like terms: 12 + -1 = 11 -2y = 11 Divide each side by '-2'. y = -5.5 Simplifying y = -5.5
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