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Simplifying 8(y + -4) = 4(y + 6) Reorder the terms: 8(-4 + y) = 4(y + 6) (-4 * 8 + y * 8) = 4(y + 6) (-32 + 8y) = 4(y + 6) Reorder the terms: -32 + 8y = 4(6 + y) -32 + 8y = (6 * 4 + y * 4) -32 + 8y = (24 + 4y) Solving -32 + 8y = 24 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -32 + 8y + -4y = 24 + 4y + -4y Combine like terms: 8y + -4y = 4y -32 + 4y = 24 + 4y + -4y Combine like terms: 4y + -4y = 0 -32 + 4y = 24 + 0 -32 + 4y = 24 Add '32' to each side of the equation. -32 + 32 + 4y = 24 + 32 Combine like terms: -32 + 32 = 0 0 + 4y = 24 + 32 4y = 24 + 32 Combine like terms: 24 + 32 = 56 4y = 56 Divide each side by '4'. y = 14 Simplifying y = 14
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