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Simplifying 2y + -5 = 3(1 + -2y) Reorder the terms: -5 + 2y = 3(1 + -2y) -5 + 2y = (1 * 3 + -2y * 3) -5 + 2y = (3 + -6y) Solving -5 + 2y = 3 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -5 + 2y + 6y = 3 + -6y + 6y Combine like terms: 2y + 6y = 8y -5 + 8y = 3 + -6y + 6y Combine like terms: -6y + 6y = 0 -5 + 8y = 3 + 0 -5 + 8y = 3 Add '5' to each side of the equation. -5 + 5 + 8y = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 8y = 3 + 5 8y = 3 + 5 Combine like terms: 3 + 5 = 8 8y = 8 Divide each side by '8'. y = 1 Simplifying y = 1
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