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Simplifying -7 + 8(-6y + -6) = -4(7y + 2) + -2 Reorder the terms: -7 + 8(-6 + -6y) = -4(7y + 2) + -2 -7 + (-6 * 8 + -6y * 8) = -4(7y + 2) + -2 -7 + (-48 + -48y) = -4(7y + 2) + -2 Combine like terms: -7 + -48 = -55 -55 + -48y = -4(7y + 2) + -2 Reorder the terms: -55 + -48y = -4(2 + 7y) + -2 -55 + -48y = (2 * -4 + 7y * -4) + -2 -55 + -48y = (-8 + -28y) + -2 Reorder the terms: -55 + -48y = -8 + -2 + -28y Combine like terms: -8 + -2 = -10 -55 + -48y = -10 + -28y Solving -55 + -48y = -10 + -28y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '28y' to each side of the equation. -55 + -48y + 28y = -10 + -28y + 28y Combine like terms: -48y + 28y = -20y -55 + -20y = -10 + -28y + 28y Combine like terms: -28y + 28y = 0 -55 + -20y = -10 + 0 -55 + -20y = -10 Add '55' to each side of the equation. -55 + 55 + -20y = -10 + 55 Combine like terms: -55 + 55 = 0 0 + -20y = -10 + 55 -20y = -10 + 55 Combine like terms: -10 + 55 = 45 -20y = 45 Divide each side by '-20'. y = -2.25 Simplifying y = -2.25
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