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Simplifying -44 + -12y + 5 = 31y + 52 + 10y Reorder the terms: -44 + 5 + -12y = 31y + 52 + 10y Combine like terms: -44 + 5 = -39 -39 + -12y = 31y + 52 + 10y Reorder the terms: -39 + -12y = 52 + 31y + 10y Combine like terms: 31y + 10y = 41y -39 + -12y = 52 + 41y Solving -39 + -12y = 52 + 41y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-41y' to each side of the equation. -39 + -12y + -41y = 52 + 41y + -41y Combine like terms: -12y + -41y = -53y -39 + -53y = 52 + 41y + -41y Combine like terms: 41y + -41y = 0 -39 + -53y = 52 + 0 -39 + -53y = 52 Add '39' to each side of the equation. -39 + 39 + -53y = 52 + 39 Combine like terms: -39 + 39 = 0 0 + -53y = 52 + 39 -53y = 52 + 39 Combine like terms: 52 + 39 = 91 -53y = 91 Divide each side by '-53'. y = -1.716981132 Simplifying y = -1.716981132
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