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Simplifying 4(5 + 3y) = 3(-4 + 2y) (5 * 4 + 3y * 4) = 3(-4 + 2y) (20 + 12y) = 3(-4 + 2y) 20 + 12y = (-4 * 3 + 2y * 3) 20 + 12y = (-12 + 6y) Solving 20 + 12y = -12 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 20 + 12y + -6y = -12 + 6y + -6y Combine like terms: 12y + -6y = 6y 20 + 6y = -12 + 6y + -6y Combine like terms: 6y + -6y = 0 20 + 6y = -12 + 0 20 + 6y = -12 Add '-20' to each side of the equation. 20 + -20 + 6y = -12 + -20 Combine like terms: 20 + -20 = 0 0 + 6y = -12 + -20 6y = -12 + -20 Combine like terms: -12 + -20 = -32 6y = -32 Divide each side by '6'. y = -5.333333333 Simplifying y = -5.333333333
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