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Simplifying 45 = (3y + 1) + -1(5y + 4) Reorder the terms: 45 = (1 + 3y) + -1(5y + 4) Remove parenthesis around (1 + 3y) 45 = 1 + 3y + -1(5y + 4) Reorder the terms: 45 = 1 + 3y + -1(4 + 5y) 45 = 1 + 3y + (4 * -1 + 5y * -1) 45 = 1 + 3y + (-4 + -5y) Reorder the terms: 45 = 1 + -4 + 3y + -5y Combine like terms: 1 + -4 = -3 45 = -3 + 3y + -5y Combine like terms: 3y + -5y = -2y 45 = -3 + -2y Solving 45 = -3 + -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 + 2y = -3 + -2y + 2y Combine like terms: -2y + 2y = 0 45 + 2y = -3 + 0 45 + 2y = -3 Add '-45' to each side of the equation. 45 + -45 + 2y = -3 + -45 Combine like terms: 45 + -45 = 0 0 + 2y = -3 + -45 2y = -3 + -45 Combine like terms: -3 + -45 = -48 2y = -48 Divide each side by '2'. y = -24 Simplifying y = -24
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