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Simplifying 4 + -5(3 + -2y) = 21 + -6y 4 + (3 * -5 + -2y * -5) = 21 + -6y 4 + (-15 + 10y) = 21 + -6y Combine like terms: 4 + -15 = -11 -11 + 10y = 21 + -6y Solving -11 + 10y = 21 + -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. -11 + 10y + 6y = 21 + -6y + 6y Combine like terms: 10y + 6y = 16y -11 + 16y = 21 + -6y + 6y Combine like terms: -6y + 6y = 0 -11 + 16y = 21 + 0 -11 + 16y = 21 Add '11' to each side of the equation. -11 + 11 + 16y = 21 + 11 Combine like terms: -11 + 11 = 0 0 + 16y = 21 + 11 16y = 21 + 11 Combine like terms: 21 + 11 = 32 16y = 32 Divide each side by '16'. y = 2 Simplifying y = 2
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