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Simplifying 3y + -6 = 5(2y + -4) + 5 Reorder the terms: -6 + 3y = 5(2y + -4) + 5 Reorder the terms: -6 + 3y = 5(-4 + 2y) + 5 -6 + 3y = (-4 * 5 + 2y * 5) + 5 -6 + 3y = (-20 + 10y) + 5 Reorder the terms: -6 + 3y = -20 + 5 + 10y Combine like terms: -20 + 5 = -15 -6 + 3y = -15 + 10y Solving -6 + 3y = -15 + 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. -6 + 3y + -10y = -15 + 10y + -10y Combine like terms: 3y + -10y = -7y -6 + -7y = -15 + 10y + -10y Combine like terms: 10y + -10y = 0 -6 + -7y = -15 + 0 -6 + -7y = -15 Add '6' to each side of the equation. -6 + 6 + -7y = -15 + 6 Combine like terms: -6 + 6 = 0 0 + -7y = -15 + 6 -7y = -15 + 6 Combine like terms: -15 + 6 = -9 -7y = -9 Divide each side by '-7'. y = 1.285714286 Simplifying y = 1.285714286
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