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Simplifying 12 + -4y = 6y + 42 Reorder the terms: 12 + -4y = 42 + 6y Solving 12 + -4y = 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 + -4y + -6y = 42 + 6y + -6y Combine like terms: -4y + -6y = -10y 12 + -10y = 42 + 6y + -6y Combine like terms: 6y + -6y = 0 12 + -10y = 42 + 0 12 + -10y = 42 Add '-12' to each side of the equation. 12 + -12 + -10y = 42 + -12 Combine like terms: 12 + -12 = 0 0 + -10y = 42 + -12 -10y = 42 + -12 Combine like terms: 42 + -12 = 30 -10y = 30 Divide each side by '-10'. y = -3 Simplifying y = -3
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