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Simplifying 2 + -6(3y + -1) = -7y + 3 + 10y Reorder the terms: 2 + -6(-1 + 3y) = -7y + 3 + 10y 2 + (-1 * -6 + 3y * -6) = -7y + 3 + 10y 2 + (6 + -18y) = -7y + 3 + 10y Combine like terms: 2 + 6 = 8 8 + -18y = -7y + 3 + 10y Reorder the terms: 8 + -18y = 3 + -7y + 10y Combine like terms: -7y + 10y = 3y 8 + -18y = 3 + 3y Solving 8 + -18y = 3 + 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. 8 + -18y + -3y = 3 + 3y + -3y Combine like terms: -18y + -3y = -21y 8 + -21y = 3 + 3y + -3y Combine like terms: 3y + -3y = 0 8 + -21y = 3 + 0 8 + -21y = 3 Add '-8' to each side of the equation. 8 + -8 + -21y = 3 + -8 Combine like terms: 8 + -8 = 0 0 + -21y = 3 + -8 -21y = 3 + -8 Combine like terms: 3 + -8 = -5 -21y = -5 Divide each side by '-21'. y = 0.2380952381 Simplifying y = 0.2380952381
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