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Simplifying -38 + 10y + 4 = 3(5y + -2) + -3 Reorder the terms: -38 + 4 + 10y = 3(5y + -2) + -3 Combine like terms: -38 + 4 = -34 -34 + 10y = 3(5y + -2) + -3 Reorder the terms: -34 + 10y = 3(-2 + 5y) + -3 -34 + 10y = (-2 * 3 + 5y * 3) + -3 -34 + 10y = (-6 + 15y) + -3 Reorder the terms: -34 + 10y = -6 + -3 + 15y Combine like terms: -6 + -3 = -9 -34 + 10y = -9 + 15y Solving -34 + 10y = -9 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -34 + 10y + -15y = -9 + 15y + -15y Combine like terms: 10y + -15y = -5y -34 + -5y = -9 + 15y + -15y Combine like terms: 15y + -15y = 0 -34 + -5y = -9 + 0 -34 + -5y = -9 Add '34' to each side of the equation. -34 + 34 + -5y = -9 + 34 Combine like terms: -34 + 34 = 0 0 + -5y = -9 + 34 -5y = -9 + 34 Combine like terms: -9 + 34 = 25 -5y = 25 Divide each side by '-5'. y = -5 Simplifying y = -5
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