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Simplifying 2y + 3(4 + -2y) = 2(y + 3) 2y + (4 * 3 + -2y * 3) = 2(y + 3) 2y + (12 + -6y) = 2(y + 3) Reorder the terms: 12 + 2y + -6y = 2(y + 3) Combine like terms: 2y + -6y = -4y 12 + -4y = 2(y + 3) Reorder the terms: 12 + -4y = 2(3 + y) 12 + -4y = (3 * 2 + y * 2) 12 + -4y = (6 + 2y) Solving 12 + -4y = 6 + 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. 12 + -4y + -2y = 6 + 2y + -2y Combine like terms: -4y + -2y = -6y 12 + -6y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 12 + -6y = 6 + 0 12 + -6y = 6 Add '-12' to each side of the equation. 12 + -12 + -6y = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -6y = 6 + -12 -6y = 6 + -12 Combine like terms: 6 + -12 = -6 -6y = -6 Divide each side by '-6'. y = 1 Simplifying y = 1
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