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Simplifying 3(10 + 4y) = 6 + 6y (10 * 3 + 4y * 3) = 6 + 6y (30 + 12y) = 6 + 6y Solving 30 + 12y = 6 + 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. 30 + 12y + -6y = 6 + 6y + -6y Combine like terms: 12y + -6y = 6y 30 + 6y = 6 + 6y + -6y Combine like terms: 6y + -6y = 0 30 + 6y = 6 + 0 30 + 6y = 6 Add '-30' to each side of the equation. 30 + -30 + 6y = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 6y = 6 + -30 6y = 6 + -30 Combine like terms: 6 + -30 = -24 6y = -24 Divide each side by '6'. y = -4 Simplifying y = -4
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