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Simplifying 5 = 5(y + 3) + -2(2y + -4) Reorder the terms: 5 = 5(3 + y) + -2(2y + -4) 5 = (3 * 5 + y * 5) + -2(2y + -4) 5 = (15 + 5y) + -2(2y + -4) Reorder the terms: 5 = 15 + 5y + -2(-4 + 2y) 5 = 15 + 5y + (-4 * -2 + 2y * -2) 5 = 15 + 5y + (8 + -4y) Reorder the terms: 5 = 15 + 8 + 5y + -4y Combine like terms: 15 + 8 = 23 5 = 23 + 5y + -4y Combine like terms: 5y + -4y = 1y 5 = 23 + 1y Solving 5 = 23 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 5 + -1y = 23 + 1y + -1y Combine like terms: 1y + -1y = 0 5 + -1y = 23 + 0 5 + -1y = 23 Add '-5' to each side of the equation. 5 + -5 + -1y = 23 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 23 + -5 -1y = 23 + -5 Combine like terms: 23 + -5 = 18 -1y = 18 Divide each side by '-1'. y = -18 Simplifying y = -18
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