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Simplifying -2(5y + -6) + -1y = -4(y + -5) Reorder the terms: -2(-6 + 5y) + -1y = -4(y + -5) (-6 * -2 + 5y * -2) + -1y = -4(y + -5) (12 + -10y) + -1y = -4(y + -5) Combine like terms: -10y + -1y = -11y 12 + -11y = -4(y + -5) Reorder the terms: 12 + -11y = -4(-5 + y) 12 + -11y = (-5 * -4 + y * -4) 12 + -11y = (20 + -4y) Solving 12 + -11y = 20 + -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 + -11y + 4y = 20 + -4y + 4y Combine like terms: -11y + 4y = -7y 12 + -7y = 20 + -4y + 4y Combine like terms: -4y + 4y = 0 12 + -7y = 20 + 0 12 + -7y = 20 Add '-12' to each side of the equation. 12 + -12 + -7y = 20 + -12 Combine like terms: 12 + -12 = 0 0 + -7y = 20 + -12 -7y = 20 + -12 Combine like terms: 20 + -12 = 8 -7y = 8 Divide each side by '-7'. y = -1.142857143 Simplifying y = -1.142857143
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