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Simplifying 6(5y + -3) + -16 = 5(2y + -1) + -2 Reorder the terms: 6(-3 + 5y) + -16 = 5(2y + -1) + -2 (-3 * 6 + 5y * 6) + -16 = 5(2y + -1) + -2 (-18 + 30y) + -16 = 5(2y + -1) + -2 Reorder the terms: -18 + -16 + 30y = 5(2y + -1) + -2 Combine like terms: -18 + -16 = -34 -34 + 30y = 5(2y + -1) + -2 Reorder the terms: -34 + 30y = 5(-1 + 2y) + -2 -34 + 30y = (-1 * 5 + 2y * 5) + -2 -34 + 30y = (-5 + 10y) + -2 Reorder the terms: -34 + 30y = -5 + -2 + 10y Combine like terms: -5 + -2 = -7 -34 + 30y = -7 + 10y Solving -34 + 30y = -7 + 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. -34 + 30y + -10y = -7 + 10y + -10y Combine like terms: 30y + -10y = 20y -34 + 20y = -7 + 10y + -10y Combine like terms: 10y + -10y = 0 -34 + 20y = -7 + 0 -34 + 20y = -7 Add '34' to each side of the equation. -34 + 34 + 20y = -7 + 34 Combine like terms: -34 + 34 = 0 0 + 20y = -7 + 34 20y = -7 + 34 Combine like terms: -7 + 34 = 27 20y = 27 Divide each side by '20'. y = 1.35 Simplifying y = 1.35
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