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Simplifying 4(2y + -3) = 3(y + 6) Reorder the terms: 4(-3 + 2y) = 3(y + 6) (-3 * 4 + 2y * 4) = 3(y + 6) (-12 + 8y) = 3(y + 6) Reorder the terms: -12 + 8y = 3(6 + y) -12 + 8y = (6 * 3 + y * 3) -12 + 8y = (18 + 3y) Solving -12 + 8y = 18 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -12 + 8y + -3y = 18 + 3y + -3y Combine like terms: 8y + -3y = 5y -12 + 5y = 18 + 3y + -3y Combine like terms: 3y + -3y = 0 -12 + 5y = 18 + 0 -12 + 5y = 18 Add '12' to each side of the equation. -12 + 12 + 5y = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 5y = 18 + 12 5y = 18 + 12 Combine like terms: 18 + 12 = 30 5y = 30 Divide each side by '5'. y = 6 Simplifying y = 6
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