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Simplifying 5 + 2(3y + -1) = 2y + -5 Reorder the terms: 5 + 2(-1 + 3y) = 2y + -5 5 + (-1 * 2 + 3y * 2) = 2y + -5 5 + (-2 + 6y) = 2y + -5 Combine like terms: 5 + -2 = 3 3 + 6y = 2y + -5 Reorder the terms: 3 + 6y = -5 + 2y Solving 3 + 6y = -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 + 6y + -2y = -5 + 2y + -2y Combine like terms: 6y + -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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