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Simplifying 4(y + -9) = 8(y + 3) Reorder the terms: 4(-9 + y) = 8(y + 3) (-9 * 4 + y * 4) = 8(y + 3) (-36 + 4y) = 8(y + 3) Reorder the terms: -36 + 4y = 8(3 + y) -36 + 4y = (3 * 8 + y * 8) -36 + 4y = (24 + 8y) Solving -36 + 4y = 24 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -36 + 4y + -8y = 24 + 8y + -8y Combine like terms: 4y + -8y = -4y -36 + -4y = 24 + 8y + -8y Combine like terms: 8y + -8y = 0 -36 + -4y = 24 + 0 -36 + -4y = 24 Add '36' to each side of the equation. -36 + 36 + -4y = 24 + 36 Combine like terms: -36 + 36 = 0 0 + -4y = 24 + 36 -4y = 24 + 36 Combine like terms: 24 + 36 = 60 -4y = 60 Divide each side by '-4'. y = -15 Simplifying y = -15
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