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Simplifying 34 + 4y + -1 = 14y + -9 + -4y Reorder the terms: 34 + -1 + 4y = 14y + -9 + -4y Combine like terms: 34 + -1 = 33 33 + 4y = 14y + -9 + -4y Reorder the terms: 33 + 4y = -9 + 14y + -4y Combine like terms: 14y + -4y = 10y 33 + 4y = -9 + 10y Solving 33 + 4y = -9 + 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. 33 + 4y + -10y = -9 + 10y + -10y Combine like terms: 4y + -10y = -6y 33 + -6y = -9 + 10y + -10y Combine like terms: 10y + -10y = 0 33 + -6y = -9 + 0 33 + -6y = -9 Add '-33' to each side of the equation. 33 + -33 + -6y = -9 + -33 Combine like terms: 33 + -33 = 0 0 + -6y = -9 + -33 -6y = -9 + -33 Combine like terms: -9 + -33 = -42 -6y = -42 Divide each side by '-6'. y = 7 Simplifying y = 7
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