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Simplifying 44 + 5y + -6 = 17y + -11 + -5y Reorder the terms: 44 + -6 + 5y = 17y + -11 + -5y Combine like terms: 44 + -6 = 38 38 + 5y = 17y + -11 + -5y Reorder the terms: 38 + 5y = -11 + 17y + -5y Combine like terms: 17y + -5y = 12y 38 + 5y = -11 + 12y Solving 38 + 5y = -11 + 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. 38 + 5y + -12y = -11 + 12y + -12y Combine like terms: 5y + -12y = -7y 38 + -7y = -11 + 12y + -12y Combine like terms: 12y + -12y = 0 38 + -7y = -11 + 0 38 + -7y = -11 Add '-38' to each side of the equation. 38 + -38 + -7y = -11 + -38 Combine like terms: 38 + -38 = 0 0 + -7y = -11 + -38 -7y = -11 + -38 Combine like terms: -11 + -38 = -49 -7y = -49 Divide each side by '-7'. y = 7 Simplifying y = 7
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