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Simplifying 4(y + -1) = 2(3 + y) Reorder the terms: 4(-1 + y) = 2(3 + y) (-1 * 4 + y * 4) = 2(3 + y) (-4 + 4y) = 2(3 + y) -4 + 4y = (3 * 2 + y * 2) -4 + 4y = (6 + 2y) Solving -4 + 4y = 6 + 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 + 4y + -2y = 6 + 2y + -2y Combine like terms: 4y + -2y = 2y -4 + 2y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 -4 + 2y = 6 + 0 -4 + 2y = 6 Add '4' to each side of the equation. -4 + 4 + 2y = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 2y = 6 + 4 2y = 6 + 4 Combine like terms: 6 + 4 = 10 2y = 10 Divide each side by '2'. y = 5 Simplifying y = 5
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