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Simplifying 10y + -14(9y + -3) = 506 Reorder the terms: 10y + -14(-3 + 9y) = 506 10y + (-3 * -14 + 9y * -14) = 506 10y + (42 + -126y) = 506 Reorder the terms: 42 + 10y + -126y = 506 Combine like terms: 10y + -126y = -116y 42 + -116y = 506 Solving 42 + -116y = 506 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -116y = 506 + -42 Combine like terms: 42 + -42 = 0 0 + -116y = 506 + -42 -116y = 506 + -42 Combine like terms: 506 + -42 = 464 -116y = 464 Divide each side by '-116'. y = -4 Simplifying y = -4
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