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Simplifying 5(y + 3) + -4(3y + -2y) + 3 = 5 Reorder the terms: 5(3 + y) + -4(3y + -2y) + 3 = 5 (3 * 5 + y * 5) + -4(3y + -2y) + 3 = 5 (15 + 5y) + -4(3y + -2y) + 3 = 5 Combine like terms: 3y + -2y = 1y 15 + 5y + -4(1y) + 3 = 5 Remove parenthesis around (1y) 15 + 5y + -4 * 1y + 3 = 5 Multiply -4 * 1 15 + 5y + -4y + 3 = 5 Reorder the terms: 15 + 3 + 5y + -4y = 5 Combine like terms: 15 + 3 = 18 18 + 5y + -4y = 5 Combine like terms: 5y + -4y = 1y 18 + 1y = 5 Solving 18 + 1y = 5 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 1y = 5 + -18 Combine like terms: 18 + -18 = 0 0 + 1y = 5 + -18 1y = 5 + -18 Combine like terms: 5 + -18 = -13 1y = -13 Divide each side by '1'. y = -13 Simplifying y = -13
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