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Simplifying 3(y + 1) = 4(2y + -3) Reorder the terms: 3(1 + y) = 4(2y + -3) (1 * 3 + y * 3) = 4(2y + -3) (3 + 3y) = 4(2y + -3) Reorder the terms: 3 + 3y = 4(-3 + 2y) 3 + 3y = (-3 * 4 + 2y * 4) 3 + 3y = (-12 + 8y) Solving 3 + 3y = -12 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 3 + 3y + -8y = -12 + 8y + -8y Combine like terms: 3y + -8y = -5y 3 + -5y = -12 + 8y + -8y Combine like terms: 8y + -8y = 0 3 + -5y = -12 + 0 3 + -5y = -12 Add '-3' to each side of the equation. 3 + -3 + -5y = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -5y = -12 + -3 -5y = -12 + -3 Combine like terms: -12 + -3 = -15 -5y = -15 Divide each side by '-5'. y = 3 Simplifying y = 3
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