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Simplifying 0.11111111111(27y + 27) + -7 = -0.5(2y + -8) Reorder the terms: 0.11111111111(27 + 27y) + -7 = -0.5(2y + -8) (27 * 0.11111111111 + 27y * 0.11111111111) + -7 = -0.5(2y + -8) (3 + 3y) + -7 = -0.5(2y + -8) Reorder the terms: 3 + -7 + 3y = -0.5(2y + -8) Combine like terms: 3 + -7 = -4 -4 + 3y = -0.5(2y + -8) Reorder the terms: -4 + 3y = -0.5(-8 + 2y) -4 + 3y = (-8 * -0.5 + 2y * -0.5) -4 + 3y = (4 + -1y) Solving -4 + 3y = 4 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -4 + 3y + y = 4 + -1y + y Combine like terms: 3y + y = 4y -4 + 4y = 4 + -1y + y Combine like terms: -1y + y = 0 -4 + 4y = 4 + 0 -4 + 4y = 4 Add '4' to each side of the equation. -4 + 4 + 4y = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 4y = 4 + 4 4y = 4 + 4 Combine like terms: 4 + 4 = 8 4y = 8 Divide each side by '4'. y = 2 Simplifying y = 2
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