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Simplifying 4(y + -2) + -1 = -5(-4y + 3) + -2y Reorder the terms: 4(-2 + y) + -1 = -5(-4y + 3) + -2y (-2 * 4 + y * 4) + -1 = -5(-4y + 3) + -2y (-8 + 4y) + -1 = -5(-4y + 3) + -2y Reorder the terms: -8 + -1 + 4y = -5(-4y + 3) + -2y Combine like terms: -8 + -1 = -9 -9 + 4y = -5(-4y + 3) + -2y Reorder the terms: -9 + 4y = -5(3 + -4y) + -2y -9 + 4y = (3 * -5 + -4y * -5) + -2y -9 + 4y = (-15 + 20y) + -2y Combine like terms: 20y + -2y = 18y -9 + 4y = -15 + 18y Solving -9 + 4y = -15 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -9 + 4y + -18y = -15 + 18y + -18y Combine like terms: 4y + -18y = -14y -9 + -14y = -15 + 18y + -18y Combine like terms: 18y + -18y = 0 -9 + -14y = -15 + 0 -9 + -14y = -15 Add '9' to each side of the equation. -9 + 9 + -14y = -15 + 9 Combine like terms: -9 + 9 = 0 0 + -14y = -15 + 9 -14y = -15 + 9 Combine like terms: -15 + 9 = -6 -14y = -6 Divide each side by '-14'. y = 0.4285714286 Simplifying y = 0.4285714286
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