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Simplifying 5y + -2(4 + -1y) = 3y + 1 + -2(2y + -4) + -1 5y + (4 * -2 + -1y * -2) = 3y + 1 + -2(2y + -4) + -1 5y + (-8 + 2y) = 3y + 1 + -2(2y + -4) + -1 Reorder the terms: -8 + 5y + 2y = 3y + 1 + -2(2y + -4) + -1 Combine like terms: 5y + 2y = 7y -8 + 7y = 3y + 1 + -2(2y + -4) + -1 Reorder the terms: -8 + 7y = 3y + 1 + -2(-4 + 2y) + -1 -8 + 7y = 3y + 1 + (-4 * -2 + 2y * -2) + -1 -8 + 7y = 3y + 1 + (8 + -4y) + -1 Reorder the terms: -8 + 7y = 1 + 8 + -1 + 3y + -4y Combine like terms: 1 + 8 = 9 -8 + 7y = 9 + -1 + 3y + -4y Combine like terms: 9 + -1 = 8 -8 + 7y = 8 + 3y + -4y Combine like terms: 3y + -4y = -1y -8 + 7y = 8 + -1y Solving -8 + 7y = 8 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -8 + 7y + y = 8 + -1y + y Combine like terms: 7y + y = 8y -8 + 8y = 8 + -1y + y Combine like terms: -1y + y = 0 -8 + 8y = 8 + 0 -8 + 8y = 8 Add '8' to each side of the equation. -8 + 8 + 8y = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 8y = 8 + 8 8y = 8 + 8 Combine like terms: 8 + 8 = 16 8y = 16 Divide each side by '8'. y = 2 Simplifying y = 2
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