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Simplifying 4(y + -8) = 2(y + 4) Reorder the terms: 4(-8 + y) = 2(y + 4) (-8 * 4 + y * 4) = 2(y + 4) (-32 + 4y) = 2(y + 4) Reorder the terms: -32 + 4y = 2(4 + y) -32 + 4y = (4 * 2 + y * 2) -32 + 4y = (8 + 2y) Solving -32 + 4y = 8 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -32 + 4y + -2y = 8 + 2y + -2y Combine like terms: 4y + -2y = 2y -32 + 2y = 8 + 2y + -2y Combine like terms: 2y + -2y = 0 -32 + 2y = 8 + 0 -32 + 2y = 8 Add '32' to each side of the equation. -32 + 32 + 2y = 8 + 32 Combine like terms: -32 + 32 = 0 0 + 2y = 8 + 32 2y = 8 + 32 Combine like terms: 8 + 32 = 40 2y = 40 Divide each side by '2'. y = 20 Simplifying y = 20
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