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Simplifying 3y + -10y + 38 = 6y + 30 + -4y Reorder the terms: 38 + 3y + -10y = 6y + 30 + -4y Combine like terms: 3y + -10y = -7y 38 + -7y = 6y + 30 + -4y Reorder the terms: 38 + -7y = 30 + 6y + -4y Combine like terms: 6y + -4y = 2y 38 + -7y = 30 + 2y Solving 38 + -7y = 30 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 38 + -7y + -2y = 30 + 2y + -2y Combine like terms: -7y + -2y = -9y 38 + -9y = 30 + 2y + -2y Combine like terms: 2y + -2y = 0 38 + -9y = 30 + 0 38 + -9y = 30 Add '-38' to each side of the equation. 38 + -38 + -9y = 30 + -38 Combine like terms: 38 + -38 = 0 0 + -9y = 30 + -38 -9y = 30 + -38 Combine like terms: 30 + -38 = -8 -9y = -8 Divide each side by '-9'. y = 0.8888888889 Simplifying y = 0.8888888889
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