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Simplifying 3y + 6 = 5(2y + -3) Reorder the terms: 6 + 3y = 5(2y + -3) Reorder the terms: 6 + 3y = 5(-3 + 2y) 6 + 3y = (-3 * 5 + 2y * 5) 6 + 3y = (-15 + 10y) Solving 6 + 3y = -15 + 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 = -15 + 10y + -10y Combine like terms: 3y + -10y = -7y 6 + -7y = -15 + 10y + -10y Combine like terms: 10y + -10y = 0 6 + -7y = -15 + 0 6 + -7y = -15 Add '-6' to each side of the equation. 6 + -6 + -7y = -15 + -6 Combine like terms: 6 + -6 = 0 0 + -7y = -15 + -6 -7y = -15 + -6 Combine like terms: -15 + -6 = -21 -7y = -21 Divide each side by '-7'. y = 3 Simplifying y = 3
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