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Simplifying 10y + -6 = 16y + 42 Reorder the terms: -6 + 10y = 16y + 42 Reorder the terms: -6 + 10y = 42 + 16y Solving -6 + 10y = 42 + 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. -6 + 10y + -16y = 42 + 16y + -16y Combine like terms: 10y + -16y = -6y -6 + -6y = 42 + 16y + -16y Combine like terms: 16y + -16y = 0 -6 + -6y = 42 + 0 -6 + -6y = 42 Add '6' to each side of the equation. -6 + 6 + -6y = 42 + 6 Combine like terms: -6 + 6 = 0 0 + -6y = 42 + 6 -6y = 42 + 6 Combine like terms: 42 + 6 = 48 -6y = 48 Divide each side by '-6'. y = -8 Simplifying y = -8
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