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Simplifying -44 + -8y + 14 = -21y + 45 + 8 Reorder the terms: -44 + 14 + -8y = -21y + 45 + 8 Combine like terms: -44 + 14 = -30 -30 + -8y = -21y + 45 + 8 Reorder the terms: -30 + -8y = 45 + 8 + -21y Combine like terms: 45 + 8 = 53 -30 + -8y = 53 + -21y Solving -30 + -8y = 53 + -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. -30 + -8y + 21y = 53 + -21y + 21y Combine like terms: -8y + 21y = 13y -30 + 13y = 53 + -21y + 21y Combine like terms: -21y + 21y = 0 -30 + 13y = 53 + 0 -30 + 13y = 53 Add '30' to each side of the equation. -30 + 30 + 13y = 53 + 30 Combine like terms: -30 + 30 = 0 0 + 13y = 53 + 30 13y = 53 + 30 Combine like terms: 53 + 30 = 83 13y = 83 Divide each side by '13'. y = 6.384615385 Simplifying y = 6.384615385
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