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Simplifying 8(y + -2) = 4(y + 1) Reorder the terms: 8(-2 + y) = 4(y + 1) (-2 * 8 + y * 8) = 4(y + 1) (-16 + 8y) = 4(y + 1) Reorder the terms: -16 + 8y = 4(1 + y) -16 + 8y = (1 * 4 + y * 4) -16 + 8y = (4 + 4y) Solving -16 + 8y = 4 + 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. -16 + 8y + -4y = 4 + 4y + -4y Combine like terms: 8y + -4y = 4y -16 + 4y = 4 + 4y + -4y Combine like terms: 4y + -4y = 0 -16 + 4y = 4 + 0 -16 + 4y = 4 Add '16' to each side of the equation. -16 + 16 + 4y = 4 + 16 Combine like terms: -16 + 16 = 0 0 + 4y = 4 + 16 4y = 4 + 16 Combine like terms: 4 + 16 = 20 4y = 20 Divide each side by '4'. y = 5 Simplifying y = 5
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