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