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Simplifying 5y + -3(y + -2) = -2 + 3y Reorder the terms: 5y + -3(-2 + y) = -2 + 3y 5y + (-2 * -3 + y * -3) = -2 + 3y 5y + (6 + -3y) = -2 + 3y Reorder the terms: 6 + 5y + -3y = -2 + 3y Combine like terms: 5y + -3y = 2y 6 + 2y = -2 + 3y Solving 6 + 2y = -2 + 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. 6 + 2y + -3y = -2 + 3y + -3y Combine like terms: 2y + -3y = -1y 6 + -1y = -2 + 3y + -3y Combine like terms: 3y + -3y = 0 6 + -1y = -2 + 0 6 + -1y = -2 Add '-6' to each side of the equation. 6 + -6 + -1y = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = -2 + -6 -1y = -2 + -6 Combine like terms: -2 + -6 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8
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