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