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Simplifying 3(4y + -2) = 14 + 2y Reorder the terms: 3(-2 + 4y) = 14 + 2y (-2 * 3 + 4y * 3) = 14 + 2y (-6 + 12y) = 14 + 2y Solving -6 + 12y = 14 + 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. -6 + 12y + -2y = 14 + 2y + -2y Combine like terms: 12y + -2y = 10y -6 + 10y = 14 + 2y + -2y Combine like terms: 2y + -2y = 0 -6 + 10y = 14 + 0 -6 + 10y = 14 Add '6' to each side of the equation. -6 + 6 + 10y = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 10y = 14 + 6 10y = 14 + 6 Combine like terms: 14 + 6 = 20 10y = 20 Divide each side by '10'. y = 2 Simplifying y = 2
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