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Simplifying 2(y + 2) + 3(y + -4) = 0 Reorder the terms: 2(2 + y) + 3(y + -4) = 0 (2 * 2 + y * 2) + 3(y + -4) = 0 (4 + 2y) + 3(y + -4) = 0 Reorder the terms: 4 + 2y + 3(-4 + y) = 0 4 + 2y + (-4 * 3 + y * 3) = 0 4 + 2y + (-12 + 3y) = 0 Reorder the terms: 4 + -12 + 2y + 3y = 0 Combine like terms: 4 + -12 = -8 -8 + 2y + 3y = 0 Combine like terms: 2y + 3y = 5y -8 + 5y = 0 Solving -8 + 5y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5y = 0 + 8 5y = 0 + 8 Combine like terms: 0 + 8 = 8 5y = 8 Divide each side by '5'. y = 1.6 Simplifying y = 1.6
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