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Simplifying -4(y + -4) = 5(2y + -6) Reorder the terms: -4(-4 + y) = 5(2y + -6) (-4 * -4 + y * -4) = 5(2y + -6) (16 + -4y) = 5(2y + -6) Reorder the terms: 16 + -4y = 5(-6 + 2y) 16 + -4y = (-6 * 5 + 2y * 5) 16 + -4y = (-30 + 10y) Solving 16 + -4y = -30 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 16 + -4y + -10y = -30 + 10y + -10y Combine like terms: -4y + -10y = -14y 16 + -14y = -30 + 10y + -10y Combine like terms: 10y + -10y = 0 16 + -14y = -30 + 0 16 + -14y = -30 Add '-16' to each side of the equation. 16 + -16 + -14y = -30 + -16 Combine like terms: 16 + -16 = 0 0 + -14y = -30 + -16 -14y = -30 + -16 Combine like terms: -30 + -16 = -46 -14y = -46 Divide each side by '-14'. y = 3.285714286 Simplifying y = 3.285714286
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