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Simplifying -4y + -48 = -8(y + 1) Reorder the terms: -48 + -4y = -8(y + 1) Reorder the terms: -48 + -4y = -8(1 + y) -48 + -4y = (1 * -8 + y * -8) -48 + -4y = (-8 + -8y) Solving -48 + -4y = -8 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -48 + -4y + 8y = -8 + -8y + 8y Combine like terms: -4y + 8y = 4y -48 + 4y = -8 + -8y + 8y Combine like terms: -8y + 8y = 0 -48 + 4y = -8 + 0 -48 + 4y = -8 Add '48' to each side of the equation. -48 + 48 + 4y = -8 + 48 Combine like terms: -48 + 48 = 0 0 + 4y = -8 + 48 4y = -8 + 48 Combine like terms: -8 + 48 = 40 4y = 40 Divide each side by '4'. y = 10 Simplifying y = 10
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