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Simplifying 6y + -6 = 12y + 42 Reorder the terms: -6 + 6y = 12y + 42 Reorder the terms: -6 + 6y = 42 + 12y Solving -6 + 6y = 42 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -6 + 6y + -12y = 42 + 12y + -12y Combine like terms: 6y + -12y = -6y -6 + -6y = 42 + 12y + -12y Combine like terms: 12y + -12y = 0 -6 + -6y = 42 + 0 -6 + -6y = 42 Add '6' to each side of the equation. -6 + 6 + -6y = 42 + 6 Combine like terms: -6 + 6 = 0 0 + -6y = 42 + 6 -6y = 42 + 6 Combine like terms: 42 + 6 = 48 -6y = 48 Divide each side by '-6'. y = -8 Simplifying y = -8
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