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Simplifying -2(4y + -6) + -1y = -4(y + -4) Reorder the terms: -2(-6 + 4y) + -1y = -4(y + -4) (-6 * -2 + 4y * -2) + -1y = -4(y + -4) (12 + -8y) + -1y = -4(y + -4) Combine like terms: -8y + -1y = -9y 12 + -9y = -4(y + -4) Reorder the terms: 12 + -9y = -4(-4 + y) 12 + -9y = (-4 * -4 + y * -4) 12 + -9y = (16 + -4y) Solving 12 + -9y = 16 + -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. 12 + -9y + 4y = 16 + -4y + 4y Combine like terms: -9y + 4y = -5y 12 + -5y = 16 + -4y + 4y Combine like terms: -4y + 4y = 0 12 + -5y = 16 + 0 12 + -5y = 16 Add '-12' to each side of the equation. 12 + -12 + -5y = 16 + -12 Combine like terms: 12 + -12 = 0 0 + -5y = 16 + -12 -5y = 16 + -12 Combine like terms: 16 + -12 = 4 -5y = 4 Divide each side by '-5'. y = -0.8 Simplifying y = -0.8
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