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Simplifying 31 + 5y + -6 = 16y + -10 + -4y Reorder the terms: 31 + -6 + 5y = 16y + -10 + -4y Combine like terms: 31 + -6 = 25 25 + 5y = 16y + -10 + -4y Reorder the terms: 25 + 5y = -10 + 16y + -4y Combine like terms: 16y + -4y = 12y 25 + 5y = -10 + 12y Solving 25 + 5y = -10 + 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. 25 + 5y + -12y = -10 + 12y + -12y Combine like terms: 5y + -12y = -7y 25 + -7y = -10 + 12y + -12y Combine like terms: 12y + -12y = 0 25 + -7y = -10 + 0 25 + -7y = -10 Add '-25' to each side of the equation. 25 + -25 + -7y = -10 + -25 Combine like terms: 25 + -25 = 0 0 + -7y = -10 + -25 -7y = -10 + -25 Combine like terms: -10 + -25 = -35 -7y = -35 Divide each side by '-7'. y = 5 Simplifying y = 5
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