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Simplifying 5 + 6y + -23 = 5(2y + 8) + -10 Reorder the terms: 5 + -23 + 6y = 5(2y + 8) + -10 Combine like terms: 5 + -23 = -18 -18 + 6y = 5(2y + 8) + -10 Reorder the terms: -18 + 6y = 5(8 + 2y) + -10 -18 + 6y = (8 * 5 + 2y * 5) + -10 -18 + 6y = (40 + 10y) + -10 Reorder the terms: -18 + 6y = 40 + -10 + 10y Combine like terms: 40 + -10 = 30 -18 + 6y = 30 + 10y Solving -18 + 6y = 30 + 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. -18 + 6y + -10y = 30 + 10y + -10y Combine like terms: 6y + -10y = -4y -18 + -4y = 30 + 10y + -10y Combine like terms: 10y + -10y = 0 -18 + -4y = 30 + 0 -18 + -4y = 30 Add '18' to each side of the equation. -18 + 18 + -4y = 30 + 18 Combine like terms: -18 + 18 = 0 0 + -4y = 30 + 18 -4y = 30 + 18 Combine like terms: 30 + 18 = 48 -4y = 48 Divide each side by '-4'. y = -12 Simplifying y = -12
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