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Simplifying 35 + 5y + -15 = 16y + -12 + -3y Reorder the terms: 35 + -15 + 5y = 16y + -12 + -3y Combine like terms: 35 + -15 = 20 20 + 5y = 16y + -12 + -3y Reorder the terms: 20 + 5y = -12 + 16y + -3y Combine like terms: 16y + -3y = 13y 20 + 5y = -12 + 13y Solving 20 + 5y = -12 + 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. 20 + 5y + -13y = -12 + 13y + -13y Combine like terms: 5y + -13y = -8y 20 + -8y = -12 + 13y + -13y Combine like terms: 13y + -13y = 0 20 + -8y = -12 + 0 20 + -8y = -12 Add '-20' to each side of the equation. 20 + -20 + -8y = -12 + -20 Combine like terms: 20 + -20 = 0 0 + -8y = -12 + -20 -8y = -12 + -20 Combine like terms: -12 + -20 = -32 -8y = -32 Divide each side by '-8'. y = 4 Simplifying y = 4
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