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Simplifying 3(4y + -2) = 15 + 7y Reorder the terms: 3(-2 + 4y) = 15 + 7y (-2 * 3 + 4y * 3) = 15 + 7y (-6 + 12y) = 15 + 7y Solving -6 + 12y = 15 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -6 + 12y + -7y = 15 + 7y + -7y Combine like terms: 12y + -7y = 5y -6 + 5y = 15 + 7y + -7y Combine like terms: 7y + -7y = 0 -6 + 5y = 15 + 0 -6 + 5y = 15 Add '6' to each side of the equation. -6 + 6 + 5y = 15 + 6 Combine like terms: -6 + 6 = 0 0 + 5y = 15 + 6 5y = 15 + 6 Combine like terms: 15 + 6 = 21 5y = 21 Divide each side by '5'. y = 4.2 Simplifying y = 4.2
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