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Simplifying -3y + -12 = 6y + 42 Reorder the terms: -12 + -3y = 6y + 42 Reorder the terms: -12 + -3y = 42 + 6y Solving -12 + -3y = 42 + 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. -12 + -3y + -6y = 42 + 6y + -6y Combine like terms: -3y + -6y = -9y -12 + -9y = 42 + 6y + -6y Combine like terms: 6y + -6y = 0 -12 + -9y = 42 + 0 -12 + -9y = 42 Add '12' to each side of the equation. -12 + 12 + -9y = 42 + 12 Combine like terms: -12 + 12 = 0 0 + -9y = 42 + 12 -9y = 42 + 12 Combine like terms: 42 + 12 = 54 -9y = 54 Divide each side by '-9'. y = -6 Simplifying y = -6
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