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Simplifying 4(y + -8) = 8y + -48 Reorder the terms: 4(-8 + y) = 8y + -48 (-8 * 4 + y * 4) = 8y + -48 (-32 + 4y) = 8y + -48 Reorder the terms: -32 + 4y = -48 + 8y Solving -32 + 4y = -48 + 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. -32 + 4y + -8y = -48 + 8y + -8y Combine like terms: 4y + -8y = -4y -32 + -4y = -48 + 8y + -8y Combine like terms: 8y + -8y = 0 -32 + -4y = -48 + 0 -32 + -4y = -48 Add '32' to each side of the equation. -32 + 32 + -4y = -48 + 32 Combine like terms: -32 + 32 = 0 0 + -4y = -48 + 32 -4y = -48 + 32 Combine like terms: -48 + 32 = -16 -4y = -16 Divide each side by '-4'. y = 4 Simplifying y = 4
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