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Simplifying 5(y + -4) + 2(y + -6) + -0.5 = 2y + -4 Reorder the terms: 5(-4 + y) + 2(y + -6) + -0.5 = 2y + -4 (-4 * 5 + y * 5) + 2(y + -6) + -0.5 = 2y + -4 (-20 + 5y) + 2(y + -6) + -0.5 = 2y + -4 Reorder the terms: -20 + 5y + 2(-6 + y) + -0.5 = 2y + -4 -20 + 5y + (-6 * 2 + y * 2) + -0.5 = 2y + -4 -20 + 5y + (-12 + 2y) + -0.5 = 2y + -4 Reorder the terms: -20 + -12 + -0.5 + 5y + 2y = 2y + -4 Combine like terms: -20 + -12 = -32 -32 + -0.5 + 5y + 2y = 2y + -4 Combine like terms: -32 + -0.5 = -32.5 -32.5 + 5y + 2y = 2y + -4 Combine like terms: 5y + 2y = 7y -32.5 + 7y = 2y + -4 Reorder the terms: -32.5 + 7y = -4 + 2y Solving -32.5 + 7y = -4 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -32.5 + 7y + -2y = -4 + 2y + -2y Combine like terms: 7y + -2y = 5y -32.5 + 5y = -4 + 2y + -2y Combine like terms: 2y + -2y = 0 -32.5 + 5y = -4 + 0 -32.5 + 5y = -4 Add '32.5' to each side of the equation. -32.5 + 32.5 + 5y = -4 + 32.5 Combine like terms: -32.5 + 32.5 = 0.0 0.0 + 5y = -4 + 32.5 5y = -4 + 32.5 Combine like terms: -4 + 32.5 = 28.5 5y = 28.5 Divide each side by '5'. y = 5.7 Simplifying y = 5.7
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