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Simplifying -2(y + 4) = 5y + -1 + 2(4y + 1) Reorder the terms: -2(4 + y) = 5y + -1 + 2(4y + 1) (4 * -2 + y * -2) = 5y + -1 + 2(4y + 1) (-8 + -2y) = 5y + -1 + 2(4y + 1) Reorder the terms: -8 + -2y = 5y + -1 + 2(1 + 4y) -8 + -2y = 5y + -1 + (1 * 2 + 4y * 2) -8 + -2y = 5y + -1 + (2 + 8y) Reorder the terms: -8 + -2y = -1 + 2 + 5y + 8y Combine like terms: -1 + 2 = 1 -8 + -2y = 1 + 5y + 8y Combine like terms: 5y + 8y = 13y -8 + -2y = 1 + 13y Solving -8 + -2y = 1 + 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. -8 + -2y + -13y = 1 + 13y + -13y Combine like terms: -2y + -13y = -15y -8 + -15y = 1 + 13y + -13y Combine like terms: 13y + -13y = 0 -8 + -15y = 1 + 0 -8 + -15y = 1 Add '8' to each side of the equation. -8 + 8 + -15y = 1 + 8 Combine like terms: -8 + 8 = 0 0 + -15y = 1 + 8 -15y = 1 + 8 Combine like terms: 1 + 8 = 9 -15y = 9 Divide each side by '-15'. y = -0.6 Simplifying y = -0.6
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