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Simplifying 6y + 13 + 3y + 11 = 4y + 5 + 22y + 30 Reorder the terms: 13 + 11 + 6y + 3y = 4y + 5 + 22y + 30 Combine like terms: 13 + 11 = 24 24 + 6y + 3y = 4y + 5 + 22y + 30 Combine like terms: 6y + 3y = 9y 24 + 9y = 4y + 5 + 22y + 30 Reorder the terms: 24 + 9y = 5 + 30 + 4y + 22y Combine like terms: 5 + 30 = 35 24 + 9y = 35 + 4y + 22y Combine like terms: 4y + 22y = 26y 24 + 9y = 35 + 26y Solving 24 + 9y = 35 + 26y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-26y' to each side of the equation. 24 + 9y + -26y = 35 + 26y + -26y Combine like terms: 9y + -26y = -17y 24 + -17y = 35 + 26y + -26y Combine like terms: 26y + -26y = 0 24 + -17y = 35 + 0 24 + -17y = 35 Add '-24' to each side of the equation. 24 + -24 + -17y = 35 + -24 Combine like terms: 24 + -24 = 0 0 + -17y = 35 + -24 -17y = 35 + -24 Combine like terms: 35 + -24 = 11 -17y = 11 Divide each side by '-17'. y = -0.6470588235 Simplifying y = -0.6470588235
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