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Simplifying 5(2y + -1) + 2y = y + 6 Reorder the terms: 5(-1 + 2y) + 2y = y + 6 (-1 * 5 + 2y * 5) + 2y = y + 6 (-5 + 10y) + 2y = y + 6 Combine like terms: 10y + 2y = 12y -5 + 12y = y + 6 Reorder the terms: -5 + 12y = 6 + y Solving -5 + 12y = 6 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -5 + 12y + -1y = 6 + y + -1y Combine like terms: 12y + -1y = 11y -5 + 11y = 6 + y + -1y Combine like terms: y + -1y = 0 -5 + 11y = 6 + 0 -5 + 11y = 6 Add '5' to each side of the equation. -5 + 5 + 11y = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 11y = 6 + 5 11y = 6 + 5 Combine like terms: 6 + 5 = 11 11y = 11 Divide each side by '11'. y = 1 Simplifying y = 1
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