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Simplifying 5y + -3(y + -1) = 4y + 2 Reorder the terms: 5y + -3(-1 + y) = 4y + 2 5y + (-1 * -3 + y * -3) = 4y + 2 5y + (3 + -3y) = 4y + 2 Reorder the terms: 3 + 5y + -3y = 4y + 2 Combine like terms: 5y + -3y = 2y 3 + 2y = 4y + 2 Reorder the terms: 3 + 2y = 2 + 4y Solving 3 + 2y = 2 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 3 + 2y + -4y = 2 + 4y + -4y Combine like terms: 2y + -4y = -2y 3 + -2y = 2 + 4y + -4y Combine like terms: 4y + -4y = 0 3 + -2y = 2 + 0 3 + -2y = 2 Add '-3' to each side of the equation. 3 + -3 + -2y = 2 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = 2 + -3 -2y = 2 + -3 Combine like terms: 2 + -3 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5
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