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Simplifying 4(y + -8) = 2(6y + -4) Reorder the terms: 4(-8 + y) = 2(6y + -4) (-8 * 4 + y * 4) = 2(6y + -4) (-32 + 4y) = 2(6y + -4) Reorder the terms: -32 + 4y = 2(-4 + 6y) -32 + 4y = (-4 * 2 + 6y * 2) -32 + 4y = (-8 + 12y) Solving -32 + 4y = -8 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -32 + 4y + -12y = -8 + 12y + -12y Combine like terms: 4y + -12y = -8y -32 + -8y = -8 + 12y + -12y Combine like terms: 12y + -12y = 0 -32 + -8y = -8 + 0 -32 + -8y = -8 Add '32' to each side of the equation. -32 + 32 + -8y = -8 + 32 Combine like terms: -32 + 32 = 0 0 + -8y = -8 + 32 -8y = -8 + 32 Combine like terms: -8 + 32 = 24 -8y = 24 Divide each side by '-8'. y = -3 Simplifying y = -3
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