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Simplifying 6y + 19 = 10y + 38 Reorder the terms: 19 + 6y = 10y + 38 Reorder the terms: 19 + 6y = 38 + 10y Solving 19 + 6y = 38 + 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. 19 + 6y + -10y = 38 + 10y + -10y Combine like terms: 6y + -10y = -4y 19 + -4y = 38 + 10y + -10y Combine like terms: 10y + -10y = 0 19 + -4y = 38 + 0 19 + -4y = 38 Add '-19' to each side of the equation. 19 + -19 + -4y = 38 + -19 Combine like terms: 19 + -19 = 0 0 + -4y = 38 + -19 -4y = 38 + -19 Combine like terms: 38 + -19 = 19 -4y = 19 Divide each side by '-4'. y = -4.75 Simplifying y = -4.75
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