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Simplifying 1 + -2y + -5(3y + 14) = 10y Reorder the terms: 1 + -2y + -5(14 + 3y) = 10y 1 + -2y + (14 * -5 + 3y * -5) = 10y 1 + -2y + (-70 + -15y) = 10y Reorder the terms: 1 + -70 + -2y + -15y = 10y Combine like terms: 1 + -70 = -69 -69 + -2y + -15y = 10y Combine like terms: -2y + -15y = -17y -69 + -17y = 10y Solving -69 + -17y = 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. -69 + -17y + -10y = 10y + -10y Combine like terms: -17y + -10y = -27y -69 + -27y = 10y + -10y Combine like terms: 10y + -10y = 0 -69 + -27y = 0 Add '69' to each side of the equation. -69 + 69 + -27y = 0 + 69 Combine like terms: -69 + 69 = 0 0 + -27y = 0 + 69 -27y = 0 + 69 Combine like terms: 0 + 69 = 69 -27y = 69 Divide each side by '-27'. y = -2.555555556 Simplifying y = -2.555555556
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