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Simplifying 2(3y + -4) = 5(3 + -2y) Reorder the terms: 2(-4 + 3y) = 5(3 + -2y) (-4 * 2 + 3y * 2) = 5(3 + -2y) (-8 + 6y) = 5(3 + -2y) -8 + 6y = (3 * 5 + -2y * 5) -8 + 6y = (15 + -10y) Solving -8 + 6y = 15 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. -8 + 6y + 10y = 15 + -10y + 10y Combine like terms: 6y + 10y = 16y -8 + 16y = 15 + -10y + 10y Combine like terms: -10y + 10y = 0 -8 + 16y = 15 + 0 -8 + 16y = 15 Add '8' to each side of the equation. -8 + 8 + 16y = 15 + 8 Combine like terms: -8 + 8 = 0 0 + 16y = 15 + 8 16y = 15 + 8 Combine like terms: 15 + 8 = 23 16y = 23 Divide each side by '16'. y = 1.4375 Simplifying y = 1.4375
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