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Simplifying 45 = -3(21 + -1y) + 3(y + -2) 45 = (21 * -3 + -1y * -3) + 3(y + -2) 45 = (-63 + 3y) + 3(y + -2) Reorder the terms: 45 = -63 + 3y + 3(-2 + y) 45 = -63 + 3y + (-2 * 3 + y * 3) 45 = -63 + 3y + (-6 + 3y) Reorder the terms: 45 = -63 + -6 + 3y + 3y Combine like terms: -63 + -6 = -69 45 = -69 + 3y + 3y Combine like terms: 3y + 3y = 6y 45 = -69 + 6y Solving 45 = -69 + 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. 45 + -6y = -69 + 6y + -6y Combine like terms: 6y + -6y = 0 45 + -6y = -69 + 0 45 + -6y = -69 Add '-45' to each side of the equation. 45 + -45 + -6y = -69 + -45 Combine like terms: 45 + -45 = 0 0 + -6y = -69 + -45 -6y = -69 + -45 Combine like terms: -69 + -45 = -114 -6y = -114 Divide each side by '-6'. y = 19 Simplifying y = 19
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