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Simplifying 3y + 4(3 + -2y) = 2y + -5 3y + (3 * 4 + -2y * 4) = 2y + -5 3y + (12 + -8y) = 2y + -5 Reorder the terms: 12 + 3y + -8y = 2y + -5 Combine like terms: 3y + -8y = -5y 12 + -5y = 2y + -5 Reorder the terms: 12 + -5y = -5 + 2y Solving 12 + -5y = -5 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 12 + -5y + -2y = -5 + 2y + -2y Combine like terms: -5y + -2y = -7y 12 + -7y = -5 + 2y + -2y Combine like terms: 2y + -2y = 0 12 + -7y = -5 + 0 12 + -7y = -5 Add '-12' to each side of the equation. 12 + -12 + -7y = -5 + -12 Combine like terms: 12 + -12 = 0 0 + -7y = -5 + -12 -7y = -5 + -12 Combine like terms: -5 + -12 = -17 -7y = -17 Divide each side by '-7'. y = 2.428571429 Simplifying y = 2.428571429
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