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Simplifying -3(4y + -7) + -1y = -2y + 8 Reorder the terms: -3(-7 + 4y) + -1y = -2y + 8 (-7 * -3 + 4y * -3) + -1y = -2y + 8 (21 + -12y) + -1y = -2y + 8 Combine like terms: -12y + -1y = -13y 21 + -13y = -2y + 8 Reorder the terms: 21 + -13y = 8 + -2y Solving 21 + -13y = 8 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 21 + -13y + 2y = 8 + -2y + 2y Combine like terms: -13y + 2y = -11y 21 + -11y = 8 + -2y + 2y Combine like terms: -2y + 2y = 0 21 + -11y = 8 + 0 21 + -11y = 8 Add '-21' to each side of the equation. 21 + -21 + -11y = 8 + -21 Combine like terms: 21 + -21 = 0 0 + -11y = 8 + -21 -11y = 8 + -21 Combine like terms: 8 + -21 = -13 -11y = -13 Divide each side by '-11'. y = 1.181818182 Simplifying y = 1.181818182
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