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Simplifying 3y + -8y + 12 = y + 3y + -42 Reorder the terms: 12 + 3y + -8y = y + 3y + -42 Combine like terms: 3y + -8y = -5y 12 + -5y = y + 3y + -42 Reorder the terms: 12 + -5y = -42 + y + 3y Combine like terms: y + 3y = 4y 12 + -5y = -42 + 4y Solving 12 + -5y = -42 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 12 + -5y + -4y = -42 + 4y + -4y Combine like terms: -5y + -4y = -9y 12 + -9y = -42 + 4y + -4y Combine like terms: 4y + -4y = 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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