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Simplifying 15(3 + -2y) = 21 + 2y (3 * 15 + -2y * 15) = 21 + 2y (45 + -30y) = 21 + 2y Solving 45 + -30y = 21 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 45 + -30y + -2y = 21 + 2y + -2y Combine like terms: -30y + -2y = -32y 45 + -32y = 21 + 2y + -2y Combine like terms: 2y + -2y = 0 45 + -32y = 21 + 0 45 + -32y = 21 Add '-45' to each side of the equation. 45 + -45 + -32y = 21 + -45 Combine like terms: 45 + -45 = 0 0 + -32y = 21 + -45 -32y = 21 + -45 Combine like terms: 21 + -45 = -24 -32y = -24 Divide each side by '-32'. y = 0.75 Simplifying y = 0.75
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