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