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Simplifying 3y + 4 + 10y + -17 = 14 + -23y + 16 + -7y Reorder the terms: 4 + -17 + 3y + 10y = 14 + -23y + 16 + -7y Combine like terms: 4 + -17 = -13 -13 + 3y + 10y = 14 + -23y + 16 + -7y Combine like terms: 3y + 10y = 13y -13 + 13y = 14 + -23y + 16 + -7y Reorder the terms: -13 + 13y = 14 + 16 + -23y + -7y Combine like terms: 14 + 16 = 30 -13 + 13y = 30 + -23y + -7y Combine like terms: -23y + -7y = -30y -13 + 13y = 30 + -30y Solving -13 + 13y = 30 + -30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '30y' to each side of the equation. -13 + 13y + 30y = 30 + -30y + 30y Combine like terms: 13y + 30y = 43y -13 + 43y = 30 + -30y + 30y Combine like terms: -30y + 30y = 0 -13 + 43y = 30 + 0 -13 + 43y = 30 Add '13' to each side of the equation. -13 + 13 + 43y = 30 + 13 Combine like terms: -13 + 13 = 0 0 + 43y = 30 + 13 43y = 30 + 13 Combine like terms: 30 + 13 = 43 43y = 43 Divide each side by '43'. y = 1 Simplifying y = 1
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