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Simplifying 16(y + -7) + 14y = 10y + -5(10) Reorder the terms: 16(-7 + y) + 14y = 10y + -5(10) (-7 * 16 + y * 16) + 14y = 10y + -5(10) (-112 + 16y) + 14y = 10y + -5(10) Combine like terms: 16y + 14y = 30y -112 + 30y = 10y + -5(10) Multiply -5 * 10 -112 + 30y = 10y + -50 Reorder the terms: -112 + 30y = -50 + 10y Solving -112 + 30y = -50 + 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. -112 + 30y + -10y = -50 + 10y + -10y Combine like terms: 30y + -10y = 20y -112 + 20y = -50 + 10y + -10y Combine like terms: 10y + -10y = 0 -112 + 20y = -50 + 0 -112 + 20y = -50 Add '112' to each side of the equation. -112 + 112 + 20y = -50 + 112 Combine like terms: -112 + 112 = 0 0 + 20y = -50 + 112 20y = -50 + 112 Combine like terms: -50 + 112 = 62 20y = 62 Divide each side by '20'. y = 3.1 Simplifying y = 3.1
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