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Simplifying 3y + 7 = 6(y + 9) Reorder the terms: 7 + 3y = 6(y + 9) Reorder the terms: 7 + 3y = 6(9 + y) 7 + 3y = (9 * 6 + y * 6) 7 + 3y = (54 + 6y) Solving 7 + 3y = 54 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 7 + 3y + -6y = 54 + 6y + -6y Combine like terms: 3y + -6y = -3y 7 + -3y = 54 + 6y + -6y Combine like terms: 6y + -6y = 0 7 + -3y = 54 + 0 7 + -3y = 54 Add '-7' to each side of the equation. 7 + -7 + -3y = 54 + -7 Combine like terms: 7 + -7 = 0 0 + -3y = 54 + -7 -3y = 54 + -7 Combine like terms: 54 + -7 = 47 -3y = 47 Divide each side by '-3'. y = -15.66666667 Simplifying y = -15.66666667
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