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Simplifying -3y + 2 = -8 + 6(y + -2) Reorder the terms: 2 + -3y = -8 + 6(y + -2) Reorder the terms: 2 + -3y = -8 + 6(-2 + y) 2 + -3y = -8 + (-2 * 6 + y * 6) 2 + -3y = -8 + (-12 + 6y) Combine like terms: -8 + -12 = -20 2 + -3y = -20 + 6y Solving 2 + -3y = -20 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 2 + -3y + -6y = -20 + 6y + -6y Combine like terms: -3y + -6y = -9y 2 + -9y = -20 + 6y + -6y Combine like terms: 6y + -6y = 0 2 + -9y = -20 + 0 2 + -9y = -20 Add '-2' to each side of the equation. 2 + -2 + -9y = -20 + -2 Combine like terms: 2 + -2 = 0 0 + -9y = -20 + -2 -9y = -20 + -2 Combine like terms: -20 + -2 = -22 -9y = -22 Divide each side by '-9'. y = 2.444444444 Simplifying y = 2.444444444
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