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Simplifying -0.64 + 0.0y = 6.4(y + 4.5) Anything times zero is zero. -0.64 + 0.0y = 6.4(y + 4.5) Combine like terms: -0.64 + 0.0 = -0.64 -0.64 = 6.4(y + 4.5) Reorder the terms: -0.64 = 6.4(4.5 + y) -0.64 = (4.5 * 6.4 + y * 6.4) -0.64 = (28.8 + 6.4y) Solving -0.64 = 28.8 + 6.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6.4y' to each side of the equation. -0.64 + -6.4y = 28.8 + 6.4y + -6.4y Combine like terms: 6.4y + -6.4y = 0.0 -0.64 + -6.4y = 28.8 + 0.0 -0.64 + -6.4y = 28.8 Add '0.64' to each side of the equation. -0.64 + 0.64 + -6.4y = 28.8 + 0.64 Combine like terms: -0.64 + 0.64 = 0.00 0.00 + -6.4y = 28.8 + 0.64 -6.4y = 28.8 + 0.64 Combine like terms: 28.8 + 0.64 = 29.44 -6.4y = 29.44 Divide each side by '-6.4'. y = -4.6 Simplifying y = -4.6
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