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Simplifying 2(y + 3) + 6(y + -4) + 3 = 0 Reorder the terms: 2(3 + y) + 6(y + -4) + 3 = 0 (3 * 2 + y * 2) + 6(y + -4) + 3 = 0 (6 + 2y) + 6(y + -4) + 3 = 0 Reorder the terms: 6 + 2y + 6(-4 + y) + 3 = 0 6 + 2y + (-4 * 6 + y * 6) + 3 = 0 6 + 2y + (-24 + 6y) + 3 = 0 Reorder the terms: 6 + -24 + 3 + 2y + 6y = 0 Combine like terms: 6 + -24 = -18 -18 + 3 + 2y + 6y = 0 Combine like terms: -18 + 3 = -15 -15 + 2y + 6y = 0 Combine like terms: 2y + 6y = 8y -15 + 8y = 0 Solving -15 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 8y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 8y = 0 + 15 8y = 0 + 15 Combine like terms: 0 + 15 = 15 8y = 15 Divide each side by '8'. y = 1.875 Simplifying y = 1.875
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