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Simplifying 8(y + -4) + 4(y + 3) = 16 Reorder the terms: 8(-4 + y) + 4(y + 3) = 16 (-4 * 8 + y * 8) + 4(y + 3) = 16 (-32 + 8y) + 4(y + 3) = 16 Reorder the terms: -32 + 8y + 4(3 + y) = 16 -32 + 8y + (3 * 4 + y * 4) = 16 -32 + 8y + (12 + 4y) = 16 Reorder the terms: -32 + 12 + 8y + 4y = 16 Combine like terms: -32 + 12 = -20 -20 + 8y + 4y = 16 Combine like terms: 8y + 4y = 12y -20 + 12y = 16 Solving -20 + 12y = 16 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 12y = 16 + 20 Combine like terms: -20 + 20 = 0 0 + 12y = 16 + 20 12y = 16 + 20 Combine like terms: 16 + 20 = 36 12y = 36 Divide each side by '12'. y = 3 Simplifying y = 3
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