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Simplifying 7 + -6(9 + -1y) = 10(y + -4) 7 + (9 * -6 + -1y * -6) = 10(y + -4) 7 + (-54 + 6y) = 10(y + -4) Combine like terms: 7 + -54 = -47 -47 + 6y = 10(y + -4) Reorder the terms: -47 + 6y = 10(-4 + y) -47 + 6y = (-4 * 10 + y * 10) -47 + 6y = (-40 + 10y) Solving -47 + 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. -47 + 6y + -10y = -40 + 10y + -10y Combine like terms: 6y + -10y = -4y -47 + -4y = -40 + 10y + -10y Combine like terms: 10y + -10y = 0 -47 + -4y = -40 + 0 -47 + -4y = -40 Add '47' to each side of the equation. -47 + 47 + -4y = -40 + 47 Combine like terms: -47 + 47 = 0 0 + -4y = -40 + 47 -4y = -40 + 47 Combine like terms: -40 + 47 = 7 -4y = 7 Divide each side by '-4'. y = -1.75 Simplifying y = -1.75
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