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Simplifying -48(y + 1) = 8(4y + -6) + -240 Reorder the terms: -48(1 + y) = 8(4y + -6) + -240 (1 * -48 + y * -48) = 8(4y + -6) + -240 (-48 + -48y) = 8(4y + -6) + -240 Reorder the terms: -48 + -48y = 8(-6 + 4y) + -240 -48 + -48y = (-6 * 8 + 4y * 8) + -240 -48 + -48y = (-48 + 32y) + -240 Reorder the terms: -48 + -48y = -48 + -240 + 32y Combine like terms: -48 + -240 = -288 -48 + -48y = -288 + 32y Solving -48 + -48y = -288 + 32y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-32y' to each side of the equation. -48 + -48y + -32y = -288 + 32y + -32y Combine like terms: -48y + -32y = -80y -48 + -80y = -288 + 32y + -32y Combine like terms: 32y + -32y = 0 -48 + -80y = -288 + 0 -48 + -80y = -288 Add '48' to each side of the equation. -48 + 48 + -80y = -288 + 48 Combine like terms: -48 + 48 = 0 0 + -80y = -288 + 48 -80y = -288 + 48 Combine like terms: -288 + 48 = -240 -80y = -240 Divide each side by '-80'. y = 3 Simplifying y = 3
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