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Simplifying 3y + -6 = 5(2y + -2) + 3 Reorder the terms: -6 + 3y = 5(2y + -2) + 3 Reorder the terms: -6 + 3y = 5(-2 + 2y) + 3 -6 + 3y = (-2 * 5 + 2y * 5) + 3 -6 + 3y = (-10 + 10y) + 3 Reorder the terms: -6 + 3y = -10 + 3 + 10y Combine like terms: -10 + 3 = -7 -6 + 3y = -7 + 10y Solving -6 + 3y = -7 + 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. -6 + 3y + -10y = -7 + 10y + -10y Combine like terms: 3y + -10y = -7y -6 + -7y = -7 + 10y + -10y Combine like terms: 10y + -10y = 0 -6 + -7y = -7 + 0 -6 + -7y = -7 Add '6' to each side of the equation. -6 + 6 + -7y = -7 + 6 Combine like terms: -6 + 6 = 0 0 + -7y = -7 + 6 -7y = -7 + 6 Combine like terms: -7 + 6 = -1 -7y = -1 Divide each side by '-7'. y = 0.1428571429 Simplifying y = 0.1428571429
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