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Simplifying 5y + -7 + y + 3 = 6y + 40 + -3y Reorder the terms: -7 + 3 + 5y + y = 6y + 40 + -3y Combine like terms: -7 + 3 = -4 -4 + 5y + y = 6y + 40 + -3y Combine like terms: 5y + y = 6y -4 + 6y = 6y + 40 + -3y Reorder the terms: -4 + 6y = 40 + 6y + -3y Combine like terms: 6y + -3y = 3y -4 + 6y = 40 + 3y Solving -4 + 6y = 40 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -4 + 6y + -3y = 40 + 3y + -3y Combine like terms: 6y + -3y = 3y -4 + 3y = 40 + 3y + -3y Combine like terms: 3y + -3y = 0 -4 + 3y = 40 + 0 -4 + 3y = 40 Add '4' to each side of the equation. -4 + 4 + 3y = 40 + 4 Combine like terms: -4 + 4 = 0 0 + 3y = 40 + 4 3y = 40 + 4 Combine like terms: 40 + 4 = 44 3y = 44 Divide each side by '3'. y = 14.66666667 Simplifying y = 14.66666667
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