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Simplifying 4(y + -5) + 8 = 12 + -1(y + 3) Reorder the terms: 4(-5 + y) + 8 = 12 + -1(y + 3) (-5 * 4 + y * 4) + 8 = 12 + -1(y + 3) (-20 + 4y) + 8 = 12 + -1(y + 3) Reorder the terms: -20 + 8 + 4y = 12 + -1(y + 3) Combine like terms: -20 + 8 = -12 -12 + 4y = 12 + -1(y + 3) Reorder the terms: -12 + 4y = 12 + -1(3 + y) -12 + 4y = 12 + (3 * -1 + y * -1) -12 + 4y = 12 + (-3 + -1y) Combine like terms: 12 + -3 = 9 -12 + 4y = 9 + -1y Solving -12 + 4y = 9 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -12 + 4y + y = 9 + -1y + y Combine like terms: 4y + y = 5y -12 + 5y = 9 + -1y + y Combine like terms: -1y + y = 0 -12 + 5y = 9 + 0 -12 + 5y = 9 Add '12' to each side of the equation. -12 + 12 + 5y = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 5y = 9 + 12 5y = 9 + 12 Combine like terms: 9 + 12 = 21 5y = 21 Divide each side by '5'. y = 4.2 Simplifying y = 4.2
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