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Simplifying 3y + -7 = 5(2y + -2) + 4 Reorder the terms: -7 + 3y = 5(2y + -2) + 4 Reorder the terms: -7 + 3y = 5(-2 + 2y) + 4 -7 + 3y = (-2 * 5 + 2y * 5) + 4 -7 + 3y = (-10 + 10y) + 4 Reorder the terms: -7 + 3y = -10 + 4 + 10y Combine like terms: -10 + 4 = -6 -7 + 3y = -6 + 10y Solving -7 + 3y = -6 + 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. -7 + 3y + -10y = -6 + 10y + -10y Combine like terms: 3y + -10y = -7y -7 + -7y = -6 + 10y + -10y Combine like terms: 10y + -10y = 0 -7 + -7y = -6 + 0 -7 + -7y = -6 Add '7' to each side of the equation. -7 + 7 + -7y = -6 + 7 Combine like terms: -7 + 7 = 0 0 + -7y = -6 + 7 -7y = -6 + 7 Combine like terms: -6 + 7 = 1 -7y = 1 Divide each side by '-7'. y = -0.1428571429 Simplifying y = -0.1428571429
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