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Simplifying -7 + 6(8y + 6) = -2(-3y + -6) + -4 Reorder the terms: -7 + 6(6 + 8y) = -2(-3y + -6) + -4 -7 + (6 * 6 + 8y * 6) = -2(-3y + -6) + -4 -7 + (36 + 48y) = -2(-3y + -6) + -4 Combine like terms: -7 + 36 = 29 29 + 48y = -2(-3y + -6) + -4 Reorder the terms: 29 + 48y = -2(-6 + -3y) + -4 29 + 48y = (-6 * -2 + -3y * -2) + -4 29 + 48y = (12 + 6y) + -4 Reorder the terms: 29 + 48y = 12 + -4 + 6y Combine like terms: 12 + -4 = 8 29 + 48y = 8 + 6y Solving 29 + 48y = 8 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 29 + 48y + -6y = 8 + 6y + -6y Combine like terms: 48y + -6y = 42y 29 + 42y = 8 + 6y + -6y Combine like terms: 6y + -6y = 0 29 + 42y = 8 + 0 29 + 42y = 8 Add '-29' to each side of the equation. 29 + -29 + 42y = 8 + -29 Combine like terms: 29 + -29 = 0 0 + 42y = 8 + -29 42y = 8 + -29 Combine like terms: 8 + -29 = -21 42y = -21 Divide each side by '42'. y = -0.5 Simplifying y = -0.5
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