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Simplifying 19(y + -9) = 3(y + -8) Reorder the terms: 19(-9 + y) = 3(y + -8) (-9 * 19 + y * 19) = 3(y + -8) (-171 + 19y) = 3(y + -8) Reorder the terms: -171 + 19y = 3(-8 + y) -171 + 19y = (-8 * 3 + y * 3) -171 + 19y = (-24 + 3y) Solving -171 + 19y = -24 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -171 + 19y + -3y = -24 + 3y + -3y Combine like terms: 19y + -3y = 16y -171 + 16y = -24 + 3y + -3y Combine like terms: 3y + -3y = 0 -171 + 16y = -24 + 0 -171 + 16y = -24 Add '171' to each side of the equation. -171 + 171 + 16y = -24 + 171 Combine like terms: -171 + 171 = 0 0 + 16y = -24 + 171 16y = -24 + 171 Combine like terms: -24 + 171 = 147 16y = 147 Divide each side by '16'. y = 9.1875 Simplifying y = 9.1875
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