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Simplifying -5(-1y + -7) + 4(6y + 4) = y + 12 + 2y Reorder the terms: -5(-7 + -1y) + 4(6y + 4) = y + 12 + 2y (-7 * -5 + -1y * -5) + 4(6y + 4) = y + 12 + 2y (35 + 5y) + 4(6y + 4) = y + 12 + 2y Reorder the terms: 35 + 5y + 4(4 + 6y) = y + 12 + 2y 35 + 5y + (4 * 4 + 6y * 4) = y + 12 + 2y 35 + 5y + (16 + 24y) = y + 12 + 2y Reorder the terms: 35 + 16 + 5y + 24y = y + 12 + 2y Combine like terms: 35 + 16 = 51 51 + 5y + 24y = y + 12 + 2y Combine like terms: 5y + 24y = 29y 51 + 29y = y + 12 + 2y Reorder the terms: 51 + 29y = 12 + y + 2y Combine like terms: y + 2y = 3y 51 + 29y = 12 + 3y Solving 51 + 29y = 12 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 51 + 29y + -3y = 12 + 3y + -3y Combine like terms: 29y + -3y = 26y 51 + 26y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 51 + 26y = 12 + 0 51 + 26y = 12 Add '-51' to each side of the equation. 51 + -51 + 26y = 12 + -51 Combine like terms: 51 + -51 = 0 0 + 26y = 12 + -51 26y = 12 + -51 Combine like terms: 12 + -51 = -39 26y = -39 Divide each side by '26'. y = -1.5 Simplifying y = -1.5
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