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Simplifying 7y + 13 = 10y + -32 Reorder the terms: 13 + 7y = 10y + -32 Reorder the terms: 13 + 7y = -32 + 10y Solving 13 + 7y = -32 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 13 + 7y + -10y = -32 + 10y + -10y Combine like terms: 7y + -10y = -3y 13 + -3y = -32 + 10y + -10y Combine like terms: 10y + -10y = 0 13 + -3y = -32 + 0 13 + -3y = -32 Add '-13' to each side of the equation. 13 + -13 + -3y = -32 + -13 Combine like terms: 13 + -13 = 0 0 + -3y = -32 + -13 -3y = -32 + -13 Combine like terms: -32 + -13 = -45 -3y = -45 Divide each side by '-3'. y = 15 Simplifying y = 15
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