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Simplifying 4y + -2(4y + 1) = -5(y + -2) + -2 Reorder the terms: 4y + -2(1 + 4y) = -5(y + -2) + -2 4y + (1 * -2 + 4y * -2) = -5(y + -2) + -2 4y + (-2 + -8y) = -5(y + -2) + -2 Reorder the terms: -2 + 4y + -8y = -5(y + -2) + -2 Combine like terms: 4y + -8y = -4y -2 + -4y = -5(y + -2) + -2 Reorder the terms: -2 + -4y = -5(-2 + y) + -2 -2 + -4y = (-2 * -5 + y * -5) + -2 -2 + -4y = (10 + -5y) + -2 Reorder the terms: -2 + -4y = 10 + -2 + -5y Combine like terms: 10 + -2 = 8 -2 + -4y = 8 + -5y Solving -2 + -4y = 8 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -2 + -4y + 5y = 8 + -5y + 5y Combine like terms: -4y + 5y = 1y -2 + 1y = 8 + -5y + 5y Combine like terms: -5y + 5y = 0 -2 + 1y = 8 + 0 -2 + 1y = 8 Add '2' to each side of the equation. -2 + 2 + 1y = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 1y = 8 + 2 1y = 8 + 2 Combine like terms: 8 + 2 = 10 1y = 10 Divide each side by '1'. y = 10 Simplifying y = 10
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