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Simplifying 4(y + -1) = 2y + 8 + -2(-3y + -1) Reorder the terms: 4(-1 + y) = 2y + 8 + -2(-3y + -1) (-1 * 4 + y * 4) = 2y + 8 + -2(-3y + -1) (-4 + 4y) = 2y + 8 + -2(-3y + -1) Reorder the terms: -4 + 4y = 2y + 8 + -2(-1 + -3y) -4 + 4y = 2y + 8 + (-1 * -2 + -3y * -2) -4 + 4y = 2y + 8 + (2 + 6y) Reorder the terms: -4 + 4y = 8 + 2 + 2y + 6y Combine like terms: 8 + 2 = 10 -4 + 4y = 10 + 2y + 6y Combine like terms: 2y + 6y = 8y -4 + 4y = 10 + 8y Solving -4 + 4y = 10 + 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. -4 + 4y + -8y = 10 + 8y + -8y Combine like terms: 4y + -8y = -4y -4 + -4y = 10 + 8y + -8y Combine like terms: 8y + -8y = 0 -4 + -4y = 10 + 0 -4 + -4y = 10 Add '4' to each side of the equation. -4 + 4 + -4y = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -4y = 10 + 4 -4y = 10 + 4 Combine like terms: 10 + 4 = 14 -4y = 14 Divide each side by '-4'. y = -3.5 Simplifying y = -3.5
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