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Simplifying 8(2y + -4) = (4 + -2y) Reorder the terms: 8(-4 + 2y) = (4 + -2y) (-4 * 8 + 2y * 8) = (4 + -2y) (-32 + 16y) = (4 + -2y) Remove parenthesis around (4 + -2y) -32 + 16y = 4 + -2y Solving -32 + 16y = 4 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -32 + 16y + 2y = 4 + -2y + 2y Combine like terms: 16y + 2y = 18y -32 + 18y = 4 + -2y + 2y Combine like terms: -2y + 2y = 0 -32 + 18y = 4 + 0 -32 + 18y = 4 Add '32' to each side of the equation. -32 + 32 + 18y = 4 + 32 Combine like terms: -32 + 32 = 0 0 + 18y = 4 + 32 18y = 4 + 32 Combine like terms: 4 + 32 = 36 18y = 36 Divide each side by '18'. y = 2 Simplifying y = 2
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