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Simplifying -3(5y + -7) + -1y = -2(y + -4) Reorder the terms: -3(-7 + 5y) + -1y = -2(y + -4) (-7 * -3 + 5y * -3) + -1y = -2(y + -4) (21 + -15y) + -1y = -2(y + -4) Combine like terms: -15y + -1y = -16y 21 + -16y = -2(y + -4) Reorder the terms: 21 + -16y = -2(-4 + y) 21 + -16y = (-4 * -2 + y * -2) 21 + -16y = (8 + -2y) Solving 21 + -16y = 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 + -16y + 2y = 8 + -2y + 2y Combine like terms: -16y + 2y = -14y 21 + -14y = 8 + -2y + 2y Combine like terms: -2y + 2y = 0 21 + -14y = 8 + 0 21 + -14y = 8 Add '-21' to each side of the equation. 21 + -21 + -14y = 8 + -21 Combine like terms: 21 + -21 = 0 0 + -14y = 8 + -21 -14y = 8 + -21 Combine like terms: 8 + -21 = -13 -14y = -13 Divide each side by '-14'. y = 0.9285714286 Simplifying y = 0.9285714286
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