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Simplifying 48 + 6y + -18 = 17y + -10 + -3y Reorder the terms: 48 + -18 + 6y = 17y + -10 + -3y Combine like terms: 48 + -18 = 30 30 + 6y = 17y + -10 + -3y Reorder the terms: 30 + 6y = -10 + 17y + -3y Combine like terms: 17y + -3y = 14y 30 + 6y = -10 + 14y Solving 30 + 6y = -10 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. 30 + 6y + -14y = -10 + 14y + -14y Combine like terms: 6y + -14y = -8y 30 + -8y = -10 + 14y + -14y Combine like terms: 14y + -14y = 0 30 + -8y = -10 + 0 30 + -8y = -10 Add '-30' to each side of the equation. 30 + -30 + -8y = -10 + -30 Combine like terms: 30 + -30 = 0 0 + -8y = -10 + -30 -8y = -10 + -30 Combine like terms: -10 + -30 = -40 -8y = -40 Divide each side by '-8'. y = 5 Simplifying y = 5
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