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Simplifying 8(2y + -1) = 3(16 + 3y) Reorder the terms: 8(-1 + 2y) = 3(16 + 3y) (-1 * 8 + 2y * 8) = 3(16 + 3y) (-8 + 16y) = 3(16 + 3y) -8 + 16y = (16 * 3 + 3y * 3) -8 + 16y = (48 + 9y) Solving -8 + 16y = 48 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -8 + 16y + -9y = 48 + 9y + -9y Combine like terms: 16y + -9y = 7y -8 + 7y = 48 + 9y + -9y Combine like terms: 9y + -9y = 0 -8 + 7y = 48 + 0 -8 + 7y = 48 Add '8' to each side of the equation. -8 + 8 + 7y = 48 + 8 Combine like terms: -8 + 8 = 0 0 + 7y = 48 + 8 7y = 48 + 8 Combine like terms: 48 + 8 = 56 7y = 56 Divide each side by '7'. y = 8 Simplifying y = 8
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