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Simplifying 35 + 4y + -12 = 17y + -13 + -4y Reorder the terms: 35 + -12 + 4y = 17y + -13 + -4y Combine like terms: 35 + -12 = 23 23 + 4y = 17y + -13 + -4y Reorder the terms: 23 + 4y = -13 + 17y + -4y Combine like terms: 17y + -4y = 13y 23 + 4y = -13 + 13y Solving 23 + 4y = -13 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 23 + 4y + -13y = -13 + 13y + -13y Combine like terms: 4y + -13y = -9y 23 + -9y = -13 + 13y + -13y Combine like terms: 13y + -13y = 0 23 + -9y = -13 + 0 23 + -9y = -13 Add '-23' to each side of the equation. 23 + -23 + -9y = -13 + -23 Combine like terms: 23 + -23 = 0 0 + -9y = -13 + -23 -9y = -13 + -23 Combine like terms: -13 + -23 = -36 -9y = -36 Divide each side by '-9'. y = 4 Simplifying y = 4
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