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Simplifying -2(y + 6) = 5y + -5 + 2(4y + 1) Reorder the terms: -2(6 + y) = 5y + -5 + 2(4y + 1) (6 * -2 + y * -2) = 5y + -5 + 2(4y + 1) (-12 + -2y) = 5y + -5 + 2(4y + 1) Reorder the terms: -12 + -2y = 5y + -5 + 2(1 + 4y) -12 + -2y = 5y + -5 + (1 * 2 + 4y * 2) -12 + -2y = 5y + -5 + (2 + 8y) Reorder the terms: -12 + -2y = -5 + 2 + 5y + 8y Combine like terms: -5 + 2 = -3 -12 + -2y = -3 + 5y + 8y Combine like terms: 5y + 8y = 13y -12 + -2y = -3 + 13y Solving -12 + -2y = -3 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. -12 + -2y + -13y = -3 + 13y + -13y Combine like terms: -2y + -13y = -15y -12 + -15y = -3 + 13y + -13y Combine like terms: 13y + -13y = 0 -12 + -15y = -3 + 0 -12 + -15y = -3 Add '12' to each side of the equation. -12 + 12 + -15y = -3 + 12 Combine like terms: -12 + 12 = 0 0 + -15y = -3 + 12 -15y = -3 + 12 Combine like terms: -3 + 12 = 9 -15y = 9 Divide each side by '-15'. y = -0.6 Simplifying y = -0.6
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