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Simplifying -63 + 3y + 8 = 2(5y + -3) + -7 Reorder the terms: -63 + 8 + 3y = 2(5y + -3) + -7 Combine like terms: -63 + 8 = -55 -55 + 3y = 2(5y + -3) + -7 Reorder the terms: -55 + 3y = 2(-3 + 5y) + -7 -55 + 3y = (-3 * 2 + 5y * 2) + -7 -55 + 3y = (-6 + 10y) + -7 Reorder the terms: -55 + 3y = -6 + -7 + 10y Combine like terms: -6 + -7 = -13 -55 + 3y = -13 + 10y Solving -55 + 3y = -13 + 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. -55 + 3y + -10y = -13 + 10y + -10y Combine like terms: 3y + -10y = -7y -55 + -7y = -13 + 10y + -10y Combine like terms: 10y + -10y = 0 -55 + -7y = -13 + 0 -55 + -7y = -13 Add '55' to each side of the equation. -55 + 55 + -7y = -13 + 55 Combine like terms: -55 + 55 = 0 0 + -7y = -13 + 55 -7y = -13 + 55 Combine like terms: -13 + 55 = 42 -7y = 42 Divide each side by '-7'. y = -6 Simplifying y = -6
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