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Simplifying -2(2y + -7) + -1y = -4(y + -2) Reorder the terms: -2(-7 + 2y) + -1y = -4(y + -2) (-7 * -2 + 2y * -2) + -1y = -4(y + -2) (14 + -4y) + -1y = -4(y + -2) Combine like terms: -4y + -1y = -5y 14 + -5y = -4(y + -2) Reorder the terms: 14 + -5y = -4(-2 + y) 14 + -5y = (-2 * -4 + y * -4) 14 + -5y = (8 + -4y) Solving 14 + -5y = 8 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 14 + -5y + 4y = 8 + -4y + 4y Combine like terms: -5y + 4y = -1y 14 + -1y = 8 + -4y + 4y Combine like terms: -4y + 4y = 0 14 + -1y = 8 + 0 14 + -1y = 8 Add '-14' to each side of the equation. 14 + -14 + -1y = 8 + -14 Combine like terms: 14 + -14 = 0 0 + -1y = 8 + -14 -1y = 8 + -14 Combine like terms: 8 + -14 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6
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