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Simplifying -43 + -17y + 12 = -31y + 1 + 10y Reorder the terms: -43 + 12 + -17y = -31y + 1 + 10y Combine like terms: -43 + 12 = -31 -31 + -17y = -31y + 1 + 10y Reorder the terms: -31 + -17y = 1 + -31y + 10y Combine like terms: -31y + 10y = -21y -31 + -17y = 1 + -21y Solving -31 + -17y = 1 + -21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '21y' to each side of the equation. -31 + -17y + 21y = 1 + -21y + 21y Combine like terms: -17y + 21y = 4y -31 + 4y = 1 + -21y + 21y Combine like terms: -21y + 21y = 0 -31 + 4y = 1 + 0 -31 + 4y = 1 Add '31' to each side of the equation. -31 + 31 + 4y = 1 + 31 Combine like terms: -31 + 31 = 0 0 + 4y = 1 + 31 4y = 1 + 31 Combine like terms: 1 + 31 = 32 4y = 32 Divide each side by '4'. y = 8 Simplifying y = 8
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