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Simplifying -6y + 10 = 3y + -12 Reorder the terms: 10 + -6y = 3y + -12 Reorder the terms: 10 + -6y = -12 + 3y Solving 10 + -6y = -12 + 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. 10 + -6y + -3y = -12 + 3y + -3y Combine like terms: -6y + -3y = -9y 10 + -9y = -12 + 3y + -3y Combine like terms: 3y + -3y = 0 10 + -9y = -12 + 0 10 + -9y = -12 Add '-10' to each side of the equation. 10 + -10 + -9y = -12 + -10 Combine like terms: 10 + -10 = 0 0 + -9y = -12 + -10 -9y = -12 + -10 Combine like terms: -12 + -10 = -22 -9y = -22 Divide each side by '-9'. y = 2.444444444 Simplifying y = 2.444444444
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