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Simplifying 3y + -8 = 5(2y + -4) + 6 Reorder the terms: -8 + 3y = 5(2y + -4) + 6 Reorder the terms: -8 + 3y = 5(-4 + 2y) + 6 -8 + 3y = (-4 * 5 + 2y * 5) + 6 -8 + 3y = (-20 + 10y) + 6 Reorder the terms: -8 + 3y = -20 + 6 + 10y Combine like terms: -20 + 6 = -14 -8 + 3y = -14 + 10y Solving -8 + 3y = -14 + 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. -8 + 3y + -10y = -14 + 10y + -10y Combine like terms: 3y + -10y = -7y -8 + -7y = -14 + 10y + -10y Combine like terms: 10y + -10y = 0 -8 + -7y = -14 + 0 -8 + -7y = -14 Add '8' to each side of the equation. -8 + 8 + -7y = -14 + 8 Combine like terms: -8 + 8 = 0 0 + -7y = -14 + 8 -7y = -14 + 8 Combine like terms: -14 + 8 = -6 -7y = -6 Divide each side by '-7'. y = 0.8571428571 Simplifying y = 0.8571428571
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