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Simplifying 2(y + 2) = 4(y + 3) Reorder the terms: 2(2 + y) = 4(y + 3) (2 * 2 + y * 2) = 4(y + 3) (4 + 2y) = 4(y + 3) Reorder the terms: 4 + 2y = 4(3 + y) 4 + 2y = (3 * 4 + y * 4) 4 + 2y = (12 + 4y) Solving 4 + 2y = 12 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 4 + 2y + -4y = 12 + 4y + -4y Combine like terms: 2y + -4y = -2y 4 + -2y = 12 + 4y + -4y Combine like terms: 4y + -4y = 0 4 + -2y = 12 + 0 4 + -2y = 12 Add '-4' to each side of the equation. 4 + -4 + -2y = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -2y = 12 + -4 -2y = 12 + -4 Combine like terms: 12 + -4 = 8 -2y = 8 Divide each side by '-2'. y = -4 Simplifying y = -4
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