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Simplifying 5(3 + -2y) = 3 + -4y (3 * 5 + -2y * 5) = 3 + -4y (15 + -10y) = 3 + -4y Solving 15 + -10y = 3 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 15 + -10y + 4y = 3 + -4y + 4y Combine like terms: -10y + 4y = -6y 15 + -6y = 3 + -4y + 4y Combine like terms: -4y + 4y = 0 15 + -6y = 3 + 0 15 + -6y = 3 Add '-15' to each side of the equation. 15 + -15 + -6y = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -6y = 3 + -15 -6y = 3 + -15 Combine like terms: 3 + -15 = -12 -6y = -12 Divide each side by '-6'. y = 2 Simplifying y = 2
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