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Simplifying -4(4y + -6) + -1y = -2(y + -2) Reorder the terms: -4(-6 + 4y) + -1y = -2(y + -2) (-6 * -4 + 4y * -4) + -1y = -2(y + -2) (24 + -16y) + -1y = -2(y + -2) Combine like terms: -16y + -1y = -17y 24 + -17y = -2(y + -2) Reorder the terms: 24 + -17y = -2(-2 + y) 24 + -17y = (-2 * -2 + y * -2) 24 + -17y = (4 + -2y) Solving 24 + -17y = 4 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 24 + -17y + 2y = 4 + -2y + 2y Combine like terms: -17y + 2y = -15y 24 + -15y = 4 + -2y + 2y Combine like terms: -2y + 2y = 0 24 + -15y = 4 + 0 24 + -15y = 4 Add '-24' to each side of the equation. 24 + -24 + -15y = 4 + -24 Combine like terms: 24 + -24 = 0 0 + -15y = 4 + -24 -15y = 4 + -24 Combine like terms: 4 + -24 = -20 -15y = -20 Divide each side by '-15'. y = 1.333333333 Simplifying y = 1.333333333
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