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Simplifying 4y + -3(2y + -7) = 5y + 12 Reorder the terms: 4y + -3(-7 + 2y) = 5y + 12 4y + (-7 * -3 + 2y * -3) = 5y + 12 4y + (21 + -6y) = 5y + 12 Reorder the terms: 21 + 4y + -6y = 5y + 12 Combine like terms: 4y + -6y = -2y 21 + -2y = 5y + 12 Reorder the terms: 21 + -2y = 12 + 5y Solving 21 + -2y = 12 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 21 + -2y + -5y = 12 + 5y + -5y Combine like terms: -2y + -5y = -7y 21 + -7y = 12 + 5y + -5y Combine like terms: 5y + -5y = 0 21 + -7y = 12 + 0 21 + -7y = 12 Add '-21' to each side of the equation. 21 + -21 + -7y = 12 + -21 Combine like terms: 21 + -21 = 0 0 + -7y = 12 + -21 -7y = 12 + -21 Combine like terms: 12 + -21 = -9 -7y = -9 Divide each side by '-7'. y = 1.285714286 Simplifying y = 1.285714286
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