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Simplifying 31 + 5y + -1 = 16y + -12 + -4y Reorder the terms: 31 + -1 + 5y = 16y + -12 + -4y Combine like terms: 31 + -1 = 30 30 + 5y = 16y + -12 + -4y Reorder the terms: 30 + 5y = -12 + 16y + -4y Combine like terms: 16y + -4y = 12y 30 + 5y = -12 + 12y Solving 30 + 5y = -12 + 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. 30 + 5y + -12y = -12 + 12y + -12y Combine like terms: 5y + -12y = -7y 30 + -7y = -12 + 12y + -12y Combine like terms: 12y + -12y = 0 30 + -7y = -12 + 0 30 + -7y = -12 Add '-30' to each side of the equation. 30 + -30 + -7y = -12 + -30 Combine like terms: 30 + -30 = 0 0 + -7y = -12 + -30 -7y = -12 + -30 Combine like terms: -12 + -30 = -42 -7y = -42 Divide each side by '-7'. y = 6 Simplifying y = 6
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