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Simplifying -4(2y + -3) + -1y = 2(y + -4) Reorder the terms: -4(-3 + 2y) + -1y = 2(y + -4) (-3 * -4 + 2y * -4) + -1y = 2(y + -4) (12 + -8y) + -1y = 2(y + -4) Combine like terms: -8y + -1y = -9y 12 + -9y = 2(y + -4) Reorder the terms: 12 + -9y = 2(-4 + y) 12 + -9y = (-4 * 2 + y * 2) 12 + -9y = (-8 + 2y) Solving 12 + -9y = -8 + 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 + -9y + -2y = -8 + 2y + -2y Combine like terms: -9y + -2y = -11y 12 + -11y = -8 + 2y + -2y Combine like terms: 2y + -2y = 0 12 + -11y = -8 + 0 12 + -11y = -8 Add '-12' to each side of the equation. 12 + -12 + -11y = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -11y = -8 + -12 -11y = -8 + -12 Combine like terms: -8 + -12 = -20 -11y = -20 Divide each side by '-11'. y = 1.818181818 Simplifying y = 1.818181818
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