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Simplifying -4(y + -1) + -1 = 2(2y + -3) Reorder the terms: -4(-1 + y) + -1 = 2(2y + -3) (-1 * -4 + y * -4) + -1 = 2(2y + -3) (4 + -4y) + -1 = 2(2y + -3) Reorder the terms: 4 + -1 + -4y = 2(2y + -3) Combine like terms: 4 + -1 = 3 3 + -4y = 2(2y + -3) Reorder the terms: 3 + -4y = 2(-3 + 2y) 3 + -4y = (-3 * 2 + 2y * 2) 3 + -4y = (-6 + 4y) Solving 3 + -4y = -6 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 3 + -4y + -4y = -6 + 4y + -4y Combine like terms: -4y + -4y = -8y 3 + -8y = -6 + 4y + -4y Combine like terms: 4y + -4y = 0 3 + -8y = -6 + 0 3 + -8y = -6 Add '-3' to each side of the equation. 3 + -3 + -8y = -6 + -3 Combine like terms: 3 + -3 = 0 0 + -8y = -6 + -3 -8y = -6 + -3 Combine like terms: -6 + -3 = -9 -8y = -9 Divide each side by '-8'. y = 1.125 Simplifying y = 1.125
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