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Simplifying -4(y + 3) = 4y + -4 + 2(3y + 1) Reorder the terms: -4(3 + y) = 4y + -4 + 2(3y + 1) (3 * -4 + y * -4) = 4y + -4 + 2(3y + 1) (-12 + -4y) = 4y + -4 + 2(3y + 1) Reorder the terms: -12 + -4y = 4y + -4 + 2(1 + 3y) -12 + -4y = 4y + -4 + (1 * 2 + 3y * 2) -12 + -4y = 4y + -4 + (2 + 6y) Reorder the terms: -12 + -4y = -4 + 2 + 4y + 6y Combine like terms: -4 + 2 = -2 -12 + -4y = -2 + 4y + 6y Combine like terms: 4y + 6y = 10y -12 + -4y = -2 + 10y Solving -12 + -4y = -2 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -12 + -4y + -10y = -2 + 10y + -10y Combine like terms: -4y + -10y = -14y -12 + -14y = -2 + 10y + -10y Combine like terms: 10y + -10y = 0 -12 + -14y = -2 + 0 -12 + -14y = -2 Add '12' to each side of the equation. -12 + 12 + -14y = -2 + 12 Combine like terms: -12 + 12 = 0 0 + -14y = -2 + 12 -14y = -2 + 12 Combine like terms: -2 + 12 = 10 -14y = 10 Divide each side by '-14'. y = -0.7142857143 Simplifying y = -0.7142857143
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