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Simplifying 12 + -4y = 7y + -1(y + -4) Reorder the terms: 12 + -4y = 7y + -1(-4 + y) 12 + -4y = 7y + (-4 * -1 + y * -1) 12 + -4y = 7y + (4 + -1y) Reorder the terms: 12 + -4y = 4 + 7y + -1y Combine like terms: 7y + -1y = 6y 12 + -4y = 4 + 6y Solving 12 + -4y = 4 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 12 + -4y + -6y = 4 + 6y + -6y Combine like terms: -4y + -6y = -10y 12 + -10y = 4 + 6y + -6y Combine like terms: 6y + -6y = 0 12 + -10y = 4 + 0 12 + -10y = 4 Add '-12' to each side of the equation. 12 + -12 + -10y = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -10y = 4 + -12 -10y = 4 + -12 Combine like terms: 4 + -12 = -8 -10y = -8 Divide each side by '-10'. y = 0.8 Simplifying y = 0.8
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