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Simplifying 4y + -10y + y + 40 = 8y + 30 + -6y Reorder the terms: 40 + 4y + -10y + y = 8y + 30 + -6y Combine like terms: 4y + -10y = -6y 40 + -6y + y = 8y + 30 + -6y Combine like terms: -6y + y = -5y 40 + -5y = 8y + 30 + -6y Reorder the terms: 40 + -5y = 30 + 8y + -6y Combine like terms: 8y + -6y = 2y 40 + -5y = 30 + 2y Solving 40 + -5y = 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. 40 + -5y + -2y = 30 + 2y + -2y Combine like terms: -5y + -2y = -7y 40 + -7y = 30 + 2y + -2y Combine like terms: 2y + -2y = 0 40 + -7y = 30 + 0 40 + -7y = 30 Add '-40' to each side of the equation. 40 + -40 + -7y = 30 + -40 Combine like terms: 40 + -40 = 0 0 + -7y = 30 + -40 -7y = 30 + -40 Combine like terms: 30 + -40 = -10 -7y = -10 Divide each side by '-7'. y = 1.428571429 Simplifying y = 1.428571429
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