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Simplifying 4(-4y + -8) = 2(-12y + 16) Reorder the terms: 4(-8 + -4y) = 2(-12y + 16) (-8 * 4 + -4y * 4) = 2(-12y + 16) (-32 + -16y) = 2(-12y + 16) Reorder the terms: -32 + -16y = 2(16 + -12y) -32 + -16y = (16 * 2 + -12y * 2) -32 + -16y = (32 + -24y) Solving -32 + -16y = 32 + -24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '24y' to each side of the equation. -32 + -16y + 24y = 32 + -24y + 24y Combine like terms: -16y + 24y = 8y -32 + 8y = 32 + -24y + 24y Combine like terms: -24y + 24y = 0 -32 + 8y = 32 + 0 -32 + 8y = 32 Add '32' to each side of the equation. -32 + 32 + 8y = 32 + 32 Combine like terms: -32 + 32 = 0 0 + 8y = 32 + 32 8y = 32 + 32 Combine like terms: 32 + 32 = 64 8y = 64 Divide each side by '8'. y = 8 Simplifying y = 8
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