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Simplifying 6y + -32 = -4(y + -7) Reorder the terms: -32 + 6y = -4(y + -7) Reorder the terms: -32 + 6y = -4(-7 + y) -32 + 6y = (-7 * -4 + y * -4) -32 + 6y = (28 + -4y) Solving -32 + 6y = 28 + -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. -32 + 6y + 4y = 28 + -4y + 4y Combine like terms: 6y + 4y = 10y -32 + 10y = 28 + -4y + 4y Combine like terms: -4y + 4y = 0 -32 + 10y = 28 + 0 -32 + 10y = 28 Add '32' to each side of the equation. -32 + 32 + 10y = 28 + 32 Combine like terms: -32 + 32 = 0 0 + 10y = 28 + 32 10y = 28 + 32 Combine like terms: 28 + 32 = 60 10y = 60 Divide each side by '10'. y = 6 Simplifying y = 6
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