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Simplifying 3y + 4 + 5y + 7 = 10y + 1 Reorder the terms: 4 + 7 + 3y + 5y = 10y + 1 Combine like terms: 4 + 7 = 11 11 + 3y + 5y = 10y + 1 Combine like terms: 3y + 5y = 8y 11 + 8y = 10y + 1 Reorder the terms: 11 + 8y = 1 + 10y Solving 11 + 8y = 1 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 11 + 8y + -10y = 1 + 10y + -10y Combine like terms: 8y + -10y = -2y 11 + -2y = 1 + 10y + -10y Combine like terms: 10y + -10y = 0 11 + -2y = 1 + 0 11 + -2y = 1 Add '-11' to each side of the equation. 11 + -11 + -2y = 1 + -11 Combine like terms: 11 + -11 = 0 0 + -2y = 1 + -11 -2y = 1 + -11 Combine like terms: 1 + -11 = -10 -2y = -10 Divide each side by '-2'. y = 5 Simplifying y = 5
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