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