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Simplifying -6(y + 1) = y + -4 + 4(2y + 4) Reorder the terms: -6(1 + y) = y + -4 + 4(2y + 4) (1 * -6 + y * -6) = y + -4 + 4(2y + 4) (-6 + -6y) = y + -4 + 4(2y + 4) Reorder the terms: -6 + -6y = y + -4 + 4(4 + 2y) -6 + -6y = y + -4 + (4 * 4 + 2y * 4) -6 + -6y = y + -4 + (16 + 8y) Reorder the terms: -6 + -6y = -4 + 16 + y + 8y Combine like terms: -4 + 16 = 12 -6 + -6y = 12 + y + 8y Combine like terms: y + 8y = 9y -6 + -6y = 12 + 9y Solving -6 + -6y = 12 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -6 + -6y + -9y = 12 + 9y + -9y Combine like terms: -6y + -9y = -15y -6 + -15y = 12 + 9y + -9y Combine like terms: 9y + -9y = 0 -6 + -15y = 12 + 0 -6 + -15y = 12 Add '6' to each side of the equation. -6 + 6 + -15y = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -15y = 12 + 6 -15y = 12 + 6 Combine like terms: 12 + 6 = 18 -15y = 18 Divide each side by '-15'. y = -1.2 Simplifying y = -1.2
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