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Simplifying -19(y + -3) = 16(y + 6) Reorder the terms: -19(-3 + y) = 16(y + 6) (-3 * -19 + y * -19) = 16(y + 6) (57 + -19y) = 16(y + 6) Reorder the terms: 57 + -19y = 16(6 + y) 57 + -19y = (6 * 16 + y * 16) 57 + -19y = (96 + 16y) Solving 57 + -19y = 96 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. 57 + -19y + -16y = 96 + 16y + -16y Combine like terms: -19y + -16y = -35y 57 + -35y = 96 + 16y + -16y Combine like terms: 16y + -16y = 0 57 + -35y = 96 + 0 57 + -35y = 96 Add '-57' to each side of the equation. 57 + -57 + -35y = 96 + -57 Combine like terms: 57 + -57 = 0 0 + -35y = 96 + -57 -35y = 96 + -57 Combine like terms: 96 + -57 = 39 -35y = 39 Divide each side by '-35'. y = -1.114285714 Simplifying y = -1.114285714
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