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Simplifying 33 + 4y + -13 = 14y + -10 + -4y Reorder the terms: 33 + -13 + 4y = 14y + -10 + -4y Combine like terms: 33 + -13 = 20 20 + 4y = 14y + -10 + -4y Reorder the terms: 20 + 4y = -10 + 14y + -4y Combine like terms: 14y + -4y = 10y 20 + 4y = -10 + 10y Solving 20 + 4y = -10 + 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. 20 + 4y + -10y = -10 + 10y + -10y Combine like terms: 4y + -10y = -6y 20 + -6y = -10 + 10y + -10y Combine like terms: 10y + -10y = 0 20 + -6y = -10 + 0 20 + -6y = -10 Add '-20' to each side of the equation. 20 + -20 + -6y = -10 + -20 Combine like terms: 20 + -20 = 0 0 + -6y = -10 + -20 -6y = -10 + -20 Combine like terms: -10 + -20 = -30 -6y = -30 Divide each side by '-6'. y = 5 Simplifying y = 5
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