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Simplifying 4(2y + -1) = 2(y + 2) Reorder the terms: 4(-1 + 2y) = 2(y + 2) (-1 * 4 + 2y * 4) = 2(y + 2) (-4 + 8y) = 2(y + 2) Reorder the terms: -4 + 8y = 2(2 + y) -4 + 8y = (2 * 2 + y * 2) -4 + 8y = (4 + 2y) Solving -4 + 8y = 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. -4 + 8y + -2y = 4 + 2y + -2y Combine like terms: 8y + -2y = 6y -4 + 6y = 4 + 2y + -2y Combine like terms: 2y + -2y = 0 -4 + 6y = 4 + 0 -4 + 6y = 4 Add '4' to each side of the equation. -4 + 4 + 6y = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 6y = 4 + 4 6y = 4 + 4 Combine like terms: 4 + 4 = 8 6y = 8 Divide each side by '6'. y = 1.333333333 Simplifying y = 1.333333333
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