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Simplifying 5y + -2 = 10y + 33 Reorder the terms: -2 + 5y = 10y + 33 Reorder the terms: -2 + 5y = 33 + 10y Solving -2 + 5y = 33 + 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. -2 + 5y + -10y = 33 + 10y + -10y Combine like terms: 5y + -10y = -5y -2 + -5y = 33 + 10y + -10y Combine like terms: 10y + -10y = 0 -2 + -5y = 33 + 0 -2 + -5y = 33 Add '2' to each side of the equation. -2 + 2 + -5y = 33 + 2 Combine like terms: -2 + 2 = 0 0 + -5y = 33 + 2 -5y = 33 + 2 Combine like terms: 33 + 2 = 35 -5y = 35 Divide each side by '-5'. y = -7 Simplifying y = -7
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