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Simplifying 8(y + -1) = 4(y + 4) Reorder the terms: 8(-1 + y) = 4(y + 4) (-1 * 8 + y * 8) = 4(y + 4) (-8 + 8y) = 4(y + 4) Reorder the terms: -8 + 8y = 4(4 + y) -8 + 8y = (4 * 4 + y * 4) -8 + 8y = (16 + 4y) Solving -8 + 8y = 16 + 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. -8 + 8y + -4y = 16 + 4y + -4y Combine like terms: 8y + -4y = 4y -8 + 4y = 16 + 4y + -4y Combine like terms: 4y + -4y = 0 -8 + 4y = 16 + 0 -8 + 4y = 16 Add '8' to each side of the equation. -8 + 8 + 4y = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 4y = 16 + 8 4y = 16 + 8 Combine like terms: 16 + 8 = 24 4y = 24 Divide each side by '4'. y = 6 Simplifying y = 6
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