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Simplifying 10y + 35 = 13y + -10 Reorder the terms: 35 + 10y = 13y + -10 Reorder the terms: 35 + 10y = -10 + 13y Solving 35 + 10y = -10 + 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. 35 + 10y + -13y = -10 + 13y + -13y Combine like terms: 10y + -13y = -3y 35 + -3y = -10 + 13y + -13y Combine like terms: 13y + -13y = 0 35 + -3y = -10 + 0 35 + -3y = -10 Add '-35' to each side of the equation. 35 + -35 + -3y = -10 + -35 Combine like terms: 35 + -35 = 0 0 + -3y = -10 + -35 -3y = -10 + -35 Combine like terms: -10 + -35 = -45 -3y = -45 Divide each side by '-3'. y = 15 Simplifying y = 15
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