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Simplifying -3(-8y + 3) + -8y = 4(y + -4) + -2 Reorder the terms: -3(3 + -8y) + -8y = 4(y + -4) + -2 (3 * -3 + -8y * -3) + -8y = 4(y + -4) + -2 (-9 + 24y) + -8y = 4(y + -4) + -2 Combine like terms: 24y + -8y = 16y -9 + 16y = 4(y + -4) + -2 Reorder the terms: -9 + 16y = 4(-4 + y) + -2 -9 + 16y = (-4 * 4 + y * 4) + -2 -9 + 16y = (-16 + 4y) + -2 Reorder the terms: -9 + 16y = -16 + -2 + 4y Combine like terms: -16 + -2 = -18 -9 + 16y = -18 + 4y Solving -9 + 16y = -18 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -9 + 16y + -4y = -18 + 4y + -4y Combine like terms: 16y + -4y = 12y -9 + 12y = -18 + 4y + -4y Combine like terms: 4y + -4y = 0 -9 + 12y = -18 + 0 -9 + 12y = -18 Add '9' to each side of the equation. -9 + 9 + 12y = -18 + 9 Combine like terms: -9 + 9 = 0 0 + 12y = -18 + 9 12y = -18 + 9 Combine like terms: -18 + 9 = -9 12y = -9 Divide each side by '12'. y = -0.75 Simplifying y = -0.75
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