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Simplifying 5y + -7(41 + -6y) = -65 5y + (41 * -7 + -6y * -7) = -65 5y + (-287 + 42y) = -65 Reorder the terms: -287 + 5y + 42y = -65 Combine like terms: 5y + 42y = 47y -287 + 47y = -65 Solving -287 + 47y = -65 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '287' to each side of the equation. -287 + 287 + 47y = -65 + 287 Combine like terms: -287 + 287 = 0 0 + 47y = -65 + 287 47y = -65 + 287 Combine like terms: -65 + 287 = 222 47y = 222 Divide each side by '47'. y = 4.723404255 Simplifying y = 4.723404255
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