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Simplifying 22 + 4y + -7 = 17y + -9 + -5y Reorder the terms: 22 + -7 + 4y = 17y + -9 + -5y Combine like terms: 22 + -7 = 15 15 + 4y = 17y + -9 + -5y Reorder the terms: 15 + 4y = -9 + 17y + -5y Combine like terms: 17y + -5y = 12y 15 + 4y = -9 + 12y Solving 15 + 4y = -9 + 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. 15 + 4y + -12y = -9 + 12y + -12y Combine like terms: 4y + -12y = -8y 15 + -8y = -9 + 12y + -12y Combine like terms: 12y + -12y = 0 15 + -8y = -9 + 0 15 + -8y = -9 Add '-15' to each side of the equation. 15 + -15 + -8y = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -8y = -9 + -15 -8y = -9 + -15 Combine like terms: -9 + -15 = -24 -8y = -24 Divide each side by '-8'. y = 3 Simplifying y = 3
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