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Simplifying 2(y + -4) = 3(2y + 1) Reorder the terms: 2(-4 + y) = 3(2y + 1) (-4 * 2 + y * 2) = 3(2y + 1) (-8 + 2y) = 3(2y + 1) Reorder the terms: -8 + 2y = 3(1 + 2y) -8 + 2y = (1 * 3 + 2y * 3) -8 + 2y = (3 + 6y) Solving -8 + 2y = 3 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -8 + 2y + -6y = 3 + 6y + -6y Combine like terms: 2y + -6y = -4y -8 + -4y = 3 + 6y + -6y Combine like terms: 6y + -6y = 0 -8 + -4y = 3 + 0 -8 + -4y = 3 Add '8' to each side of the equation. -8 + 8 + -4y = 3 + 8 Combine like terms: -8 + 8 = 0 0 + -4y = 3 + 8 -4y = 3 + 8 Combine like terms: 3 + 8 = 11 -4y = 11 Divide each side by '-4'. y = -2.75 Simplifying y = -2.75
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