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Simplifying 3(4y + -2) = 10y + 14 Reorder the terms: 3(-2 + 4y) = 10y + 14 (-2 * 3 + 4y * 3) = 10y + 14 (-6 + 12y) = 10y + 14 Reorder the terms: -6 + 12y = 14 + 10y Solving -6 + 12y = 14 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -6 + 12y + -10y = 14 + 10y + -10y Combine like terms: 12y + -10y = 2y -6 + 2y = 14 + 10y + -10y Combine like terms: 10y + -10y = 0 -6 + 2y = 14 + 0 -6 + 2y = 14 Add '6' to each side of the equation. -6 + 6 + 2y = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 2y = 14 + 6 2y = 14 + 6 Combine like terms: 14 + 6 = 20 2y = 20 Divide each side by '2'. y = 10 Simplifying y = 10
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