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Simplifying 5y + -10.4 = 4(y + -4.6) Reorder the terms: -10.4 + 5y = 4(y + -4.6) Reorder the terms: -10.4 + 5y = 4(-4.6 + y) -10.4 + 5y = (-4.6 * 4 + y * 4) -10.4 + 5y = (-18.4 + 4y) Solving -10.4 + 5y = -18.4 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -10.4 + 5y + -4y = -18.4 + 4y + -4y Combine like terms: 5y + -4y = 1y -10.4 + 1y = -18.4 + 4y + -4y Combine like terms: 4y + -4y = 0 -10.4 + 1y = -18.4 + 0 -10.4 + 1y = -18.4 Add '10.4' to each side of the equation. -10.4 + 10.4 + 1y = -18.4 + 10.4 Combine like terms: -10.4 + 10.4 = 0.0 0.0 + 1y = -18.4 + 10.4 1y = -18.4 + 10.4 Combine like terms: -18.4 + 10.4 = -8 1y = -8 Divide each side by '1'. y = -8 Simplifying y = -8
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