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Simplifying -40 + -10y + 18 = -29y + 44 + 8y Reorder the terms: -40 + 18 + -10y = -29y + 44 + 8y Combine like terms: -40 + 18 = -22 -22 + -10y = -29y + 44 + 8y Reorder the terms: -22 + -10y = 44 + -29y + 8y Combine like terms: -29y + 8y = -21y -22 + -10y = 44 + -21y Solving -22 + -10y = 44 + -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. -22 + -10y + 21y = 44 + -21y + 21y Combine like terms: -10y + 21y = 11y -22 + 11y = 44 + -21y + 21y Combine like terms: -21y + 21y = 0 -22 + 11y = 44 + 0 -22 + 11y = 44 Add '22' to each side of the equation. -22 + 22 + 11y = 44 + 22 Combine like terms: -22 + 22 = 0 0 + 11y = 44 + 22 11y = 44 + 22 Combine like terms: 44 + 22 = 66 11y = 66 Divide each side by '11'. y = 6 Simplifying y = 6
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