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Simplifying 4 + 2(4y + -3) = 6y + 12 Reorder the terms: 4 + 2(-3 + 4y) = 6y + 12 4 + (-3 * 2 + 4y * 2) = 6y + 12 4 + (-6 + 8y) = 6y + 12 Combine like terms: 4 + -6 = -2 -2 + 8y = 6y + 12 Reorder the terms: -2 + 8y = 12 + 6y Solving -2 + 8y = 12 + 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. -2 + 8y + -6y = 12 + 6y + -6y Combine like terms: 8y + -6y = 2y -2 + 2y = 12 + 6y + -6y Combine like terms: 6y + -6y = 0 -2 + 2y = 12 + 0 -2 + 2y = 12 Add '2' to each side of the equation. -2 + 2 + 2y = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 2y = 12 + 2 2y = 12 + 2 Combine like terms: 12 + 2 = 14 2y = 14 Divide each side by '2'. y = 7 Simplifying y = 7
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