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Simplifying -4(4y + -3) + 2y = 6 + 2(2y + -5) Reorder the terms: -4(-3 + 4y) + 2y = 6 + 2(2y + -5) (-3 * -4 + 4y * -4) + 2y = 6 + 2(2y + -5) (12 + -16y) + 2y = 6 + 2(2y + -5) Combine like terms: -16y + 2y = -14y 12 + -14y = 6 + 2(2y + -5) Reorder the terms: 12 + -14y = 6 + 2(-5 + 2y) 12 + -14y = 6 + (-5 * 2 + 2y * 2) 12 + -14y = 6 + (-10 + 4y) Combine like terms: 6 + -10 = -4 12 + -14y = -4 + 4y Solving 12 + -14y = -4 + 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. 12 + -14y + -4y = -4 + 4y + -4y Combine like terms: -14y + -4y = -18y 12 + -18y = -4 + 4y + -4y Combine like terms: 4y + -4y = 0 12 + -18y = -4 + 0 12 + -18y = -4 Add '-12' to each side of the equation. 12 + -12 + -18y = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -18y = -4 + -12 -18y = -4 + -12 Combine like terms: -4 + -12 = -16 -18y = -16 Divide each side by '-18'. y = 0.8888888889 Simplifying y = 0.8888888889
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