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