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Simplifying 10(-4 + y) + 8 = 2(6x + -5) + 3 (-4 * 10 + y * 10) + 8 = 2(6x + -5) + 3 (-40 + 10y) + 8 = 2(6x + -5) + 3 Reorder the terms: -40 + 8 + 10y = 2(6x + -5) + 3 Combine like terms: -40 + 8 = -32 -32 + 10y = 2(6x + -5) + 3 Reorder the terms: -32 + 10y = 2(-5 + 6x) + 3 -32 + 10y = (-5 * 2 + 6x * 2) + 3 -32 + 10y = (-10 + 12x) + 3 Reorder the terms: -32 + 10y = -10 + 3 + 12x Combine like terms: -10 + 3 = -7 -32 + 10y = -7 + 12x Solving -32 + 10y = -7 + 12x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 10y = -7 + 32 + 12x Combine like terms: -32 + 32 = 0 0 + 10y = -7 + 32 + 12x 10y = -7 + 32 + 12x Combine like terms: -7 + 32 = 25 10y = 25 + 12x Divide each side by '10'. y = 2.5 + 1.2x Simplifying y = 2.5 + 1.2x
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