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Simplifying -4(17y + -15) = -6(4 + 12y) Reorder the terms: -4(-15 + 17y) = -6(4 + 12y) (-15 * -4 + 17y * -4) = -6(4 + 12y) (60 + -68y) = -6(4 + 12y) 60 + -68y = (4 * -6 + 12y * -6) 60 + -68y = (-24 + -72y) Solving 60 + -68y = -24 + -72y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '72y' to each side of the equation. 60 + -68y + 72y = -24 + -72y + 72y Combine like terms: -68y + 72y = 4y 60 + 4y = -24 + -72y + 72y Combine like terms: -72y + 72y = 0 60 + 4y = -24 + 0 60 + 4y = -24 Add '-60' to each side of the equation. 60 + -60 + 4y = -24 + -60 Combine like terms: 60 + -60 = 0 0 + 4y = -24 + -60 4y = -24 + -60 Combine like terms: -24 + -60 = -84 4y = -84 Divide each side by '4'. y = -21 Simplifying y = -21
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