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Simplifying -2(3y + -7) + -1y = -2(y + -4) Reorder the terms: -2(-7 + 3y) + -1y = -2(y + -4) (-7 * -2 + 3y * -2) + -1y = -2(y + -4) (14 + -6y) + -1y = -2(y + -4) Combine like terms: -6y + -1y = -7y 14 + -7y = -2(y + -4) Reorder the terms: 14 + -7y = -2(-4 + y) 14 + -7y = (-4 * -2 + y * -2) 14 + -7y = (8 + -2y) Solving 14 + -7y = 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. 14 + -7y + 2y = 8 + -2y + 2y Combine like terms: -7y + 2y = -5y 14 + -5y = 8 + -2y + 2y Combine like terms: -2y + 2y = 0 14 + -5y = 8 + 0 14 + -5y = 8 Add '-14' to each side of the equation. 14 + -14 + -5y = 8 + -14 Combine like terms: 14 + -14 = 0 0 + -5y = 8 + -14 -5y = 8 + -14 Combine like terms: 8 + -14 = -6 -5y = -6 Divide each side by '-5'. y = 1.2 Simplifying y = 1.2
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