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Simplifying 0.7 + -6(5 + -1y) = 10(y + -4) 0.7 + (5 * -6 + -1y * -6) = 10(y + -4) 0.7 + (-30 + 6y) = 10(y + -4) Combine like terms: 0.7 + -30 = -29.3 -29.3 + 6y = 10(y + -4) Reorder the terms: -29.3 + 6y = 10(-4 + y) -29.3 + 6y = (-4 * 10 + y * 10) -29.3 + 6y = (-40 + 10y) Solving -29.3 + 6y = -40 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -29.3 + 6y + -10y = -40 + 10y + -10y Combine like terms: 6y + -10y = -4y -29.3 + -4y = -40 + 10y + -10y Combine like terms: 10y + -10y = 0 -29.3 + -4y = -40 + 0 -29.3 + -4y = -40 Add '29.3' to each side of the equation. -29.3 + 29.3 + -4y = -40 + 29.3 Combine like terms: -29.3 + 29.3 = 0.0 0.0 + -4y = -40 + 29.3 -4y = -40 + 29.3 Combine like terms: -40 + 29.3 = -10.7 -4y = -10.7 Divide each side by '-4'. y = 2.675 Simplifying y = 2.675
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