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Simplifying -3(y + 2) = 7y + -8 + 4(2y + 4) Reorder the terms: -3(2 + y) = 7y + -8 + 4(2y + 4) (2 * -3 + y * -3) = 7y + -8 + 4(2y + 4) (-6 + -3y) = 7y + -8 + 4(2y + 4) Reorder the terms: -6 + -3y = 7y + -8 + 4(4 + 2y) -6 + -3y = 7y + -8 + (4 * 4 + 2y * 4) -6 + -3y = 7y + -8 + (16 + 8y) Reorder the terms: -6 + -3y = -8 + 16 + 7y + 8y Combine like terms: -8 + 16 = 8 -6 + -3y = 8 + 7y + 8y Combine like terms: 7y + 8y = 15y -6 + -3y = 8 + 15y Solving -6 + -3y = 8 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -6 + -3y + -15y = 8 + 15y + -15y Combine like terms: -3y + -15y = -18y -6 + -18y = 8 + 15y + -15y Combine like terms: 15y + -15y = 0 -6 + -18y = 8 + 0 -6 + -18y = 8 Add '6' to each side of the equation. -6 + 6 + -18y = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -18y = 8 + 6 -18y = 8 + 6 Combine like terms: 8 + 6 = 14 -18y = 14 Divide each side by '-18'. y = -0.7777777778 Simplifying y = -0.7777777778
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