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