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Simplifying 2(y + 1) + -4(y + 2) = 0 Reorder the terms: 2(1 + y) + -4(y + 2) = 0 (1 * 2 + y * 2) + -4(y + 2) = 0 (2 + 2y) + -4(y + 2) = 0 Reorder the terms: 2 + 2y + -4(2 + y) = 0 2 + 2y + (2 * -4 + y * -4) = 0 2 + 2y + (-8 + -4y) = 0 Reorder the terms: 2 + -8 + 2y + -4y = 0 Combine like terms: 2 + -8 = -6 -6 + 2y + -4y = 0 Combine like terms: 2y + -4y = -2y -6 + -2y = 0 Solving -6 + -2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -2y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -2y = 0 + 6 -2y = 0 + 6 Combine like terms: 0 + 6 = 6 -2y = 6 Divide each side by '-2'. y = -3 Simplifying y = -3
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