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Simplifying 4(y + -8) = 3(2y + -8) Reorder the terms: 4(-8 + y) = 3(2y + -8) (-8 * 4 + y * 4) = 3(2y + -8) (-32 + 4y) = 3(2y + -8) Reorder the terms: -32 + 4y = 3(-8 + 2y) -32 + 4y = (-8 * 3 + 2y * 3) -32 + 4y = (-24 + 6y) Solving -32 + 4y = -24 + 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. -32 + 4y + -6y = -24 + 6y + -6y Combine like terms: 4y + -6y = -2y -32 + -2y = -24 + 6y + -6y Combine like terms: 6y + -6y = 0 -32 + -2y = -24 + 0 -32 + -2y = -24 Add '32' to each side of the equation. -32 + 32 + -2y = -24 + 32 Combine like terms: -32 + 32 = 0 0 + -2y = -24 + 32 -2y = -24 + 32 Combine like terms: -24 + 32 = 8 -2y = 8 Divide each side by '-2'. y = -4 Simplifying y = -4
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