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Simplifying 5 + 2(3y + -1) = 7y + 6 Reorder the terms: 5 + 2(-1 + 3y) = 7y + 6 5 + (-1 * 2 + 3y * 2) = 7y + 6 5 + (-2 + 6y) = 7y + 6 Combine like terms: 5 + -2 = 3 3 + 6y = 7y + 6 Reorder the terms: 3 + 6y = 6 + 7y Solving 3 + 6y = 6 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 3 + 6y + -7y = 6 + 7y + -7y Combine like terms: 6y + -7y = -1y 3 + -1y = 6 + 7y + -7y Combine like terms: 7y + -7y = 0 3 + -1y = 6 + 0 3 + -1y = 6 Add '-3' to each side of the equation. 3 + -3 + -1y = 6 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 6 + -3 -1y = 6 + -3 Combine like terms: 6 + -3 = 3 -1y = 3 Divide each side by '-1'. y = -3 Simplifying y = -3
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