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Simplifying 4(2y + 3) = 3 + -3(y + -3) Reorder the terms: 4(3 + 2y) = 3 + -3(y + -3) (3 * 4 + 2y * 4) = 3 + -3(y + -3) (12 + 8y) = 3 + -3(y + -3) Reorder the terms: 12 + 8y = 3 + -3(-3 + y) 12 + 8y = 3 + (-3 * -3 + y * -3) 12 + 8y = 3 + (9 + -3y) Combine like terms: 3 + 9 = 12 12 + 8y = 12 + -3y Add '-12' to each side of the equation. 12 + -12 + 8y = 12 + -12 + -3y Combine like terms: 12 + -12 = 0 0 + 8y = 12 + -12 + -3y 8y = 12 + -12 + -3y Combine like terms: 12 + -12 = 0 8y = 0 + -3y 8y = -3y Solving 8y = -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. 8y + 3y = -3y + 3y Combine like terms: 8y + 3y = 11y 11y = -3y + 3y Combine like terms: -3y + 3y = 0 11y = 0 Divide each side by '11'. y = 0 Simplifying y = 0
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