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Simplifying 4y + 2 = 3(6 + -2y) Reorder the terms: 2 + 4y = 3(6 + -2y) 2 + 4y = (6 * 3 + -2y * 3) 2 + 4y = (18 + -6y) Solving 2 + 4y = 18 + -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 + 4y + 6y = 18 + -6y + 6y Combine like terms: 4y + 6y = 10y 2 + 10y = 18 + -6y + 6y Combine like terms: -6y + 6y = 0 2 + 10y = 18 + 0 2 + 10y = 18 Add '-2' to each side of the equation. 2 + -2 + 10y = 18 + -2 Combine like terms: 2 + -2 = 0 0 + 10y = 18 + -2 10y = 18 + -2 Combine like terms: 18 + -2 = 16 10y = 16 Divide each side by '10'. y = 1.6 Simplifying y = 1.6
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