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Simplifying 3y + 7 = 5(2y + -3) + 4 Reorder the terms: 7 + 3y = 5(2y + -3) + 4 Reorder the terms: 7 + 3y = 5(-3 + 2y) + 4 7 + 3y = (-3 * 5 + 2y * 5) + 4 7 + 3y = (-15 + 10y) + 4 Reorder the terms: 7 + 3y = -15 + 4 + 10y Combine like terms: -15 + 4 = -11 7 + 3y = -11 + 10y Solving 7 + 3y = -11 + 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. 7 + 3y + -10y = -11 + 10y + -10y Combine like terms: 3y + -10y = -7y 7 + -7y = -11 + 10y + -10y Combine like terms: 10y + -10y = 0 7 + -7y = -11 + 0 7 + -7y = -11 Add '-7' to each side of the equation. 7 + -7 + -7y = -11 + -7 Combine like terms: 7 + -7 = 0 0 + -7y = -11 + -7 -7y = -11 + -7 Combine like terms: -11 + -7 = -18 -7y = -18 Divide each side by '-7'. y = 2.571428571 Simplifying y = 2.571428571
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