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Simplifying 4y + -48 = -4(y + -6) Reorder the terms: -48 + 4y = -4(y + -6) Reorder the terms: -48 + 4y = -4(-6 + y) -48 + 4y = (-6 * -4 + y * -4) -48 + 4y = (24 + -4y) Solving -48 + 4y = 24 + -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. -48 + 4y + 4y = 24 + -4y + 4y Combine like terms: 4y + 4y = 8y -48 + 8y = 24 + -4y + 4y Combine like terms: -4y + 4y = 0 -48 + 8y = 24 + 0 -48 + 8y = 24 Add '48' to each side of the equation. -48 + 48 + 8y = 24 + 48 Combine like terms: -48 + 48 = 0 0 + 8y = 24 + 48 8y = 24 + 48 Combine like terms: 24 + 48 = 72 8y = 72 Divide each side by '8'. y = 9 Simplifying y = 9
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