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Simplifying -93 + 10y + 5 = 4(5y + -3) + -6 Reorder the terms: -93 + 5 + 10y = 4(5y + -3) + -6 Combine like terms: -93 + 5 = -88 -88 + 10y = 4(5y + -3) + -6 Reorder the terms: -88 + 10y = 4(-3 + 5y) + -6 -88 + 10y = (-3 * 4 + 5y * 4) + -6 -88 + 10y = (-12 + 20y) + -6 Reorder the terms: -88 + 10y = -12 + -6 + 20y Combine like terms: -12 + -6 = -18 -88 + 10y = -18 + 20y Solving -88 + 10y = -18 + 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. -88 + 10y + -20y = -18 + 20y + -20y Combine like terms: 10y + -20y = -10y -88 + -10y = -18 + 20y + -20y Combine like terms: 20y + -20y = 0 -88 + -10y = -18 + 0 -88 + -10y = -18 Add '88' to each side of the equation. -88 + 88 + -10y = -18 + 88 Combine like terms: -88 + 88 = 0 0 + -10y = -18 + 88 -10y = -18 + 88 Combine like terms: -18 + 88 = 70 -10y = 70 Divide each side by '-10'. y = -7 Simplifying y = -7
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