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Simplifying 2(y + -2) + -3 = -2(-5y + 5) + -2y Reorder the terms: 2(-2 + y) + -3 = -2(-5y + 5) + -2y (-2 * 2 + y * 2) + -3 = -2(-5y + 5) + -2y (-4 + 2y) + -3 = -2(-5y + 5) + -2y Reorder the terms: -4 + -3 + 2y = -2(-5y + 5) + -2y Combine like terms: -4 + -3 = -7 -7 + 2y = -2(-5y + 5) + -2y Reorder the terms: -7 + 2y = -2(5 + -5y) + -2y -7 + 2y = (5 * -2 + -5y * -2) + -2y -7 + 2y = (-10 + 10y) + -2y Combine like terms: 10y + -2y = 8y -7 + 2y = -10 + 8y Solving -7 + 2y = -10 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -7 + 2y + -8y = -10 + 8y + -8y Combine like terms: 2y + -8y = -6y -7 + -6y = -10 + 8y + -8y Combine like terms: 8y + -8y = 0 -7 + -6y = -10 + 0 -7 + -6y = -10 Add '7' to each side of the equation. -7 + 7 + -6y = -10 + 7 Combine like terms: -7 + 7 = 0 0 + -6y = -10 + 7 -6y = -10 + 7 Combine like terms: -10 + 7 = -3 -6y = -3 Divide each side by '-6'. y = 0.5 Simplifying y = 0.5
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