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Simplifying 3(y + -4) = -7(3 + y) Reorder the terms: 3(-4 + y) = -7(3 + y) (-4 * 3 + y * 3) = -7(3 + y) (-12 + 3y) = -7(3 + y) -12 + 3y = (3 * -7 + y * -7) -12 + 3y = (-21 + -7y) Solving -12 + 3y = -21 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -12 + 3y + 7y = -21 + -7y + 7y Combine like terms: 3y + 7y = 10y -12 + 10y = -21 + -7y + 7y Combine like terms: -7y + 7y = 0 -12 + 10y = -21 + 0 -12 + 10y = -21 Add '12' to each side of the equation. -12 + 12 + 10y = -21 + 12 Combine like terms: -12 + 12 = 0 0 + 10y = -21 + 12 10y = -21 + 12 Combine like terms: -21 + 12 = -9 10y = -9 Divide each side by '10'. y = -0.9 Simplifying y = -0.9
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