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Simplifying -4(4y + -3) + -1y = -2(y + -2) Reorder the terms: -4(-3 + 4y) + -1y = -2(y + -2) (-3 * -4 + 4y * -4) + -1y = -2(y + -2) (12 + -16y) + -1y = -2(y + -2) Combine like terms: -16y + -1y = -17y 12 + -17y = -2(y + -2) Reorder the terms: 12 + -17y = -2(-2 + y) 12 + -17y = (-2 * -2 + y * -2) 12 + -17y = (4 + -2y) Solving 12 + -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. 12 + -17y + 2y = 4 + -2y + 2y Combine like terms: -17y + 2y = -15y 12 + -15y = 4 + -2y + 2y Combine like terms: -2y + 2y = 0 12 + -15y = 4 + 0 12 + -15y = 4 Add '-12' to each side of the equation. 12 + -12 + -15y = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -15y = 4 + -12 -15y = 4 + -12 Combine like terms: 4 + -12 = -8 -15y = -8 Divide each side by '-15'. y = 0.5333333333 Simplifying y = 0.5333333333
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