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Simplifying 35 + 4y + -13 = 14y + -10 + -2y Reorder the terms: 35 + -13 + 4y = 14y + -10 + -2y Combine like terms: 35 + -13 = 22 22 + 4y = 14y + -10 + -2y Reorder the terms: 22 + 4y = -10 + 14y + -2y Combine like terms: 14y + -2y = 12y 22 + 4y = -10 + 12y Solving 22 + 4y = -10 + 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. 22 + 4y + -12y = -10 + 12y + -12y Combine like terms: 4y + -12y = -8y 22 + -8y = -10 + 12y + -12y Combine like terms: 12y + -12y = 0 22 + -8y = -10 + 0 22 + -8y = -10 Add '-22' to each side of the equation. 22 + -22 + -8y = -10 + -22 Combine like terms: 22 + -22 = 0 0 + -8y = -10 + -22 -8y = -10 + -22 Combine like terms: -10 + -22 = -32 -8y = -32 Divide each side by '-8'. y = 4 Simplifying y = 4
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