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Simplifying 3(4y + -8) = 8(y + -4) Reorder the terms: 3(-8 + 4y) = 8(y + -4) (-8 * 3 + 4y * 3) = 8(y + -4) (-24 + 12y) = 8(y + -4) Reorder the terms: -24 + 12y = 8(-4 + y) -24 + 12y = (-4 * 8 + y * 8) -24 + 12y = (-32 + 8y) Solving -24 + 12y = -32 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -24 + 12y + -8y = -32 + 8y + -8y Combine like terms: 12y + -8y = 4y -24 + 4y = -32 + 8y + -8y Combine like terms: 8y + -8y = 0 -24 + 4y = -32 + 0 -24 + 4y = -32 Add '24' to each side of the equation. -24 + 24 + 4y = -32 + 24 Combine like terms: -24 + 24 = 0 0 + 4y = -32 + 24 4y = -32 + 24 Combine like terms: -32 + 24 = -8 4y = -8 Divide each side by '4'. y = -2 Simplifying y = -2
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