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Simplifying -2(5y + -1) + 8y = 6 + 4(4y + -5) Reorder the terms: -2(-1 + 5y) + 8y = 6 + 4(4y + -5) (-1 * -2 + 5y * -2) + 8y = 6 + 4(4y + -5) (2 + -10y) + 8y = 6 + 4(4y + -5) Combine like terms: -10y + 8y = -2y 2 + -2y = 6 + 4(4y + -5) Reorder the terms: 2 + -2y = 6 + 4(-5 + 4y) 2 + -2y = 6 + (-5 * 4 + 4y * 4) 2 + -2y = 6 + (-20 + 16y) Combine like terms: 6 + -20 = -14 2 + -2y = -14 + 16y Solving 2 + -2y = -14 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. 2 + -2y + -16y = -14 + 16y + -16y Combine like terms: -2y + -16y = -18y 2 + -18y = -14 + 16y + -16y Combine like terms: 16y + -16y = 0 2 + -18y = -14 + 0 2 + -18y = -14 Add '-2' to each side of the equation. 2 + -2 + -18y = -14 + -2 Combine like terms: 2 + -2 = 0 0 + -18y = -14 + -2 -18y = -14 + -2 Combine like terms: -14 + -2 = -16 -18y = -16 Divide each side by '-18'. y = 0.8888888889 Simplifying y = 0.8888888889
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