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Simplifying 14(y + 2) + 2 = 2y + 6 Reorder the terms: 14(2 + y) + 2 = 2y + 6 (2 * 14 + y * 14) + 2 = 2y + 6 (28 + 14y) + 2 = 2y + 6 Reorder the terms: 28 + 2 + 14y = 2y + 6 Combine like terms: 28 + 2 = 30 30 + 14y = 2y + 6 Reorder the terms: 30 + 14y = 6 + 2y Solving 30 + 14y = 6 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 30 + 14y + -2y = 6 + 2y + -2y Combine like terms: 14y + -2y = 12y 30 + 12y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 30 + 12y = 6 + 0 30 + 12y = 6 Add '-30' to each side of the equation. 30 + -30 + 12y = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 12y = 6 + -30 12y = 6 + -30 Combine like terms: 6 + -30 = -24 12y = -24 Divide each side by '12'. y = -2 Simplifying y = -2
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