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Simplifying 7 + -5(5 + -1y) = 10(y + -4) 7 + (5 * -5 + -1y * -5) = 10(y + -4) 7 + (-25 + 5y) = 10(y + -4) Combine like terms: 7 + -25 = -18 -18 + 5y = 10(y + -4) Reorder the terms: -18 + 5y = 10(-4 + y) -18 + 5y = (-4 * 10 + y * 10) -18 + 5y = (-40 + 10y) Solving -18 + 5y = -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. -18 + 5y + -10y = -40 + 10y + -10y Combine like terms: 5y + -10y = -5y -18 + -5y = -40 + 10y + -10y Combine like terms: 10y + -10y = 0 -18 + -5y = -40 + 0 -18 + -5y = -40 Add '18' to each side of the equation. -18 + 18 + -5y = -40 + 18 Combine like terms: -18 + 18 = 0 0 + -5y = -40 + 18 -5y = -40 + 18 Combine like terms: -40 + 18 = -22 -5y = -22 Divide each side by '-5'. y = 4.4 Simplifying y = 4.4
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