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Simplifying 7 + -6(5y + -1y) = 10(y + -4) Combine like terms: 5y + -1y = 4y 7 + -6(4y) = 10(y + -4) Remove parenthesis around (4y) 7 + -6 * 4y = 10(y + -4) Multiply -6 * 4 7 + -24y = 10(y + -4) Reorder the terms: 7 + -24y = 10(-4 + y) 7 + -24y = (-4 * 10 + y * 10) 7 + -24y = (-40 + 10y) Solving 7 + -24y = -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. 7 + -24y + -10y = -40 + 10y + -10y Combine like terms: -24y + -10y = -34y 7 + -34y = -40 + 10y + -10y Combine like terms: 10y + -10y = 0 7 + -34y = -40 + 0 7 + -34y = -40 Add '-7' to each side of the equation. 7 + -7 + -34y = -40 + -7 Combine like terms: 7 + -7 = 0 0 + -34y = -40 + -7 -34y = -40 + -7 Combine like terms: -40 + -7 = -47 -34y = -47 Divide each side by '-34'. y = 1.382352941 Simplifying y = 1.382352941
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