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Simplifying -67 + 10y + 4 = 4(5y + -2) + -5 Reorder the terms: -67 + 4 + 10y = 4(5y + -2) + -5 Combine like terms: -67 + 4 = -63 -63 + 10y = 4(5y + -2) + -5 Reorder the terms: -63 + 10y = 4(-2 + 5y) + -5 -63 + 10y = (-2 * 4 + 5y * 4) + -5 -63 + 10y = (-8 + 20y) + -5 Reorder the terms: -63 + 10y = -8 + -5 + 20y Combine like terms: -8 + -5 = -13 -63 + 10y = -13 + 20y Solving -63 + 10y = -13 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -63 + 10y + -20y = -13 + 20y + -20y Combine like terms: 10y + -20y = -10y -63 + -10y = -13 + 20y + -20y Combine like terms: 20y + -20y = 0 -63 + -10y = -13 + 0 -63 + -10y = -13 Add '63' to each side of the equation. -63 + 63 + -10y = -13 + 63 Combine like terms: -63 + 63 = 0 0 + -10y = -13 + 63 -10y = -13 + 63 Combine like terms: -13 + 63 = 50 -10y = 50 Divide each side by '-10'. y = -5 Simplifying y = -5
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